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Simplifying 3(x + 2) + -4(x + 1) = 5(x + -3) + -1 Reorder the terms: 3(2 + x) + -4(x + 1) = 5(x + -3) + -1 (2 * 3 + x * 3) + -4(x + 1) = 5(x + -3) + -1 (6 + 3x) + -4(x + 1) = 5(x + -3) + -1 Reorder the terms: 6 + 3x + -4(1 + x) = 5(x + -3) + -1 6 + 3x + (1 * -4 + x * -4) = 5(x + -3) + -1 6 + 3x + (-4 + -4x) = 5(x + -3) + -1 Reorder the terms: 6 + -4 + 3x + -4x = 5(x + -3) + -1 Combine like terms: 6 + -4 = 2 2 + 3x + -4x = 5(x + -3) + -1 Combine like terms: 3x + -4x = -1x 2 + -1x = 5(x + -3) + -1 Reorder the terms: 2 + -1x = 5(-3 + x) + -1 2 + -1x = (-3 * 5 + x * 5) + -1 2 + -1x = (-15 + 5x) + -1 Reorder the terms: 2 + -1x = -15 + -1 + 5x Combine like terms: -15 + -1 = -16 2 + -1x = -16 + 5x Solving 2 + -1x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -1x + -5x = -16 + 5x + -5x Combine like terms: -1x + -5x = -6x 2 + -6x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -6x = -16 + 0 2 + -6x = -16 Add '-2' to each side of the equation. 2 + -2 + -6x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -16 + -2 -6x = -16 + -2 Combine like terms: -16 + -2 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
| 2/3(3-a)=3 | | 0.97=0.03X | | 9y+8x-21y+3=-93 | | 2/7x-2 | | 0.5(a+1)=4 | | 2x-x^2=7 | | (2xy)/(3y^2-x^2)=-4 | | 6(x-1)=2x+1 | | 5.43=0.01X | | y-8=2y-12 | | 8v-2v=6 | | 15n^2+13n=20 | | 8n+9+12=3 | | 4.49=0.07X | | 0.625x=18+3x | | 2(4m+13)=114 | | 2(3x-1)=6x-1 | | 2w-16=10 | | a(a+6)=112 | | 78-(7x+12)=7(x+3)+x | | (2x-11)(x+4)=0 | | 20.87=0.1X | | 3n^2+4=13n | | 3x+39=5x+11 | | 49m^2+16+56m=0 | | 2x+31=11+6x | | 4x-31=11-2z | | 0.5x+2.5=x-3 | | 8(5y-10)=40 | | 3.37=0.02X | | 6x-10-2x=7+23 | | 2x+12=13-3x |