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Simplifying 2(6x + -2) = 3(5x + -5) Reorder the terms: 2(-2 + 6x) = 3(5x + -5) (-2 * 2 + 6x * 2) = 3(5x + -5) (-4 + 12x) = 3(5x + -5) Reorder the terms: -4 + 12x = 3(-5 + 5x) -4 + 12x = (-5 * 3 + 5x * 3) -4 + 12x = (-15 + 15x) Solving -4 + 12x = -15 + 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. -4 + 12x + -15x = -15 + 15x + -15x Combine like terms: 12x + -15x = -3x -4 + -3x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -3x = -15 + 0 -4 + -3x = -15 Add '4' to each side of the equation. -4 + 4 + -3x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -15 + 4 -3x = -15 + 4 Combine like terms: -15 + 4 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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