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Simplifying 3(2x + -4) + 2 = 5(x + -2) Reorder the terms: 3(-4 + 2x) + 2 = 5(x + -2) (-4 * 3 + 2x * 3) + 2 = 5(x + -2) (-12 + 6x) + 2 = 5(x + -2) Reorder the terms: -12 + 2 + 6x = 5(x + -2) Combine like terms: -12 + 2 = -10 -10 + 6x = 5(x + -2) Reorder the terms: -10 + 6x = 5(-2 + x) -10 + 6x = (-2 * 5 + x * 5) -10 + 6x = (-10 + 5x) Add '10' to each side of the equation. -10 + 10 + 6x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 0 + 6x = -10 + 10 + 5x 6x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 6x = 0 + 5x 6x = 5x Solving 6x = 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. 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 1x = 5x + -5x Combine like terms: 5x + -5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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