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