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Simplifying 5(x + -3) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1) Reorder the terms: 5(-3 + x) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1) (-3 * 5 + x * 5) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1) (-15 + 5x) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1) Reorder the terms: -15 + 5x + 2(-3 + 5x) = 7(4x + -1) + -3(5x + -1) -15 + 5x + (-3 * 2 + 5x * 2) = 7(4x + -1) + -3(5x + -1) -15 + 5x + (-6 + 10x) = 7(4x + -1) + -3(5x + -1) Reorder the terms: -15 + -6 + 5x + 10x = 7(4x + -1) + -3(5x + -1) Combine like terms: -15 + -6 = -21 -21 + 5x + 10x = 7(4x + -1) + -3(5x + -1) Combine like terms: 5x + 10x = 15x -21 + 15x = 7(4x + -1) + -3(5x + -1) Reorder the terms: -21 + 15x = 7(-1 + 4x) + -3(5x + -1) -21 + 15x = (-1 * 7 + 4x * 7) + -3(5x + -1) -21 + 15x = (-7 + 28x) + -3(5x + -1) Reorder the terms: -21 + 15x = -7 + 28x + -3(-1 + 5x) -21 + 15x = -7 + 28x + (-1 * -3 + 5x * -3) -21 + 15x = -7 + 28x + (3 + -15x) Reorder the terms: -21 + 15x = -7 + 3 + 28x + -15x Combine like terms: -7 + 3 = -4 -21 + 15x = -4 + 28x + -15x Combine like terms: 28x + -15x = 13x -21 + 15x = -4 + 13x Solving -21 + 15x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -21 + 15x + -13x = -4 + 13x + -13x Combine like terms: 15x + -13x = 2x -21 + 2x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -21 + 2x = -4 + 0 -21 + 2x = -4 Add '21' to each side of the equation. -21 + 21 + 2x = -4 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -4 + 21 2x = -4 + 21 Combine like terms: -4 + 21 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
| 5x+1=7x+7 | | [8(c+5)-16]-[3(c-3)+3]= | | 11/4n=11/3 | | 5x+6/8=x/2 | | 1/4n=1/3 | | -38+-38= | | 5/6x+6=9 | | 9x+3=11-17 | | 4-3x=5x-24 | | 2/5w-1=7/5w | | 5h-7=2h(h+1) | | -2x-5x+18=-x-2x | | [8(7-4)-2]-[1-(1-4)]= | | 8x-(4x-6)=30 | | [2-5(2-4)]= | | 7-2n=n+16 | | x^2+7x=52 | | 8d+d+4d+3=6d | | 7r+7s-7(4r-5s)= | | 3/4x-6=18 | | 1.2(y-1)=-1.3(y+1.5) | | 2x^2-13x+10=0 | | -b=mx-y | | 9u+4v-2(9u-9v+5w)= | | 4(3x+3)=11x+4 | | 576x^2+144x+9=0 | | 4h+2-7j(4h-7j+9k)= | | 300=15+5d/11 | | -4(5g-12)=-12 | | 3x+8+5x= | | 7(3+x+4)= | | 30=15+5d/11 |