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Simplifying 2(6x + -4) = 4(3x + -3) + 3(x + 4) Reorder the terms: 2(-4 + 6x) = 4(3x + -3) + 3(x + 4) (-4 * 2 + 6x * 2) = 4(3x + -3) + 3(x + 4) (-8 + 12x) = 4(3x + -3) + 3(x + 4) Reorder the terms: -8 + 12x = 4(-3 + 3x) + 3(x + 4) -8 + 12x = (-3 * 4 + 3x * 4) + 3(x + 4) -8 + 12x = (-12 + 12x) + 3(x + 4) Reorder the terms: -8 + 12x = -12 + 12x + 3(4 + x) -8 + 12x = -12 + 12x + (4 * 3 + x * 3) -8 + 12x = -12 + 12x + (12 + 3x) Reorder the terms: -8 + 12x = -12 + 12 + 12x + 3x Combine like terms: -12 + 12 = 0 -8 + 12x = 0 + 12x + 3x -8 + 12x = 12x + 3x Combine like terms: 12x + 3x = 15x -8 + 12x = 15x Solving -8 + 12x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 12x + -15x = 15x + -15x Combine like terms: 12x + -15x = -3x -8 + -3x = 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -3x = 0 Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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