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Simplifying 3(2x + -4) = 5(x + -3) Reorder the terms: 3(-4 + 2x) = 5(x + -3) (-4 * 3 + 2x * 3) = 5(x + -3) (-12 + 6x) = 5(x + -3) Reorder the terms: -12 + 6x = 5(-3 + x) -12 + 6x = (-3 * 5 + x * 5) -12 + 6x = (-15 + 5x) Solving -12 + 6x = -15 + 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. -12 + 6x + -5x = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -15 + 0 -12 + 1x = -15 Add '12' to each side of the equation. -12 + 12 + 1x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -15 + 12 1x = -15 + 12 Combine like terms: -15 + 12 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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