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Simplifying 3(-2x + 4) + 2x = 5(-2x + 4) + -2x Reorder the terms: 3(4 + -2x) + 2x = 5(-2x + 4) + -2x (4 * 3 + -2x * 3) + 2x = 5(-2x + 4) + -2x (12 + -6x) + 2x = 5(-2x + 4) + -2x Combine like terms: -6x + 2x = -4x 12 + -4x = 5(-2x + 4) + -2x Reorder the terms: 12 + -4x = 5(4 + -2x) + -2x 12 + -4x = (4 * 5 + -2x * 5) + -2x 12 + -4x = (20 + -10x) + -2x Combine like terms: -10x + -2x = -12x 12 + -4x = 20 + -12x Solving 12 + -4x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + -4x + 12x = 20 + -12x + 12x Combine like terms: -4x + 12x = 8x 12 + 8x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 8x = 20 + 0 12 + 8x = 20 Add '-12' to each side of the equation. 12 + -12 + 8x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 20 + -12 8x = 20 + -12 Combine like terms: 20 + -12 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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