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Simplifying 5(3x + -7) + 2 = 6(2x + 5) + -7(x + -1) Reorder the terms: 5(-7 + 3x) + 2 = 6(2x + 5) + -7(x + -1) (-7 * 5 + 3x * 5) + 2 = 6(2x + 5) + -7(x + -1) (-35 + 15x) + 2 = 6(2x + 5) + -7(x + -1) Reorder the terms: -35 + 2 + 15x = 6(2x + 5) + -7(x + -1) Combine like terms: -35 + 2 = -33 -33 + 15x = 6(2x + 5) + -7(x + -1) Reorder the terms: -33 + 15x = 6(5 + 2x) + -7(x + -1) -33 + 15x = (5 * 6 + 2x * 6) + -7(x + -1) -33 + 15x = (30 + 12x) + -7(x + -1) Reorder the terms: -33 + 15x = 30 + 12x + -7(-1 + x) -33 + 15x = 30 + 12x + (-1 * -7 + x * -7) -33 + 15x = 30 + 12x + (7 + -7x) Reorder the terms: -33 + 15x = 30 + 7 + 12x + -7x Combine like terms: 30 + 7 = 37 -33 + 15x = 37 + 12x + -7x Combine like terms: 12x + -7x = 5x -33 + 15x = 37 + 5x Solving -33 + 15x = 37 + 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. -33 + 15x + -5x = 37 + 5x + -5x Combine like terms: 15x + -5x = 10x -33 + 10x = 37 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 10x = 37 + 0 -33 + 10x = 37 Add '33' to each side of the equation. -33 + 33 + 10x = 37 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 37 + 33 10x = 37 + 33 Combine like terms: 37 + 33 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
| 18=6(2-3)-52+1 | | 2x+1y=1.35 | | -3m+3=11 | | 8y-7+3y= | | 8x+3=7x+11 | | 3z^2-14z+8=0 | | -9n+16=-5n-16 | | -8x-22=-70 | | (7x+3)-(4x+9)=24 | | 3e^4x=0 | | log(4x)=-5 | | C=3x^2-240x+104 | | y-2/xy=x^2 | | x^3-x^2+x-3.317=0 | | 61=7x-9 | | -4(-43)=x/4 | | 5x+7=-19-x | | 2x=0.0004 | | 7x-11=5x+23 | | -3(t+6)=0 | | -5.4=-43.2 | | log(2x)=-2 | | (x-7/2)^2=49/2 | | lx+5l-2=11 | | 52.8=8.8y | | =2+4 | | (X^(7/5))/(7/5) | | y^2+17y-6=0 | | -17.2=13.0+a | | (8x+4)+(-9+1)= | | 2x=0.0024 | | https://apcc6542-ass-ccl.gradpoint.com/Resource/7049465,90A,C0,0,0,0,0/Assets/testitemimages/algebra_1a/solving_equations/al1equa1-mc006-1.jpg |