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Simplifying 4(3x + 1) = -2(5x + -2) Reorder the terms: 4(1 + 3x) = -2(5x + -2) (1 * 4 + 3x * 4) = -2(5x + -2) (4 + 12x) = -2(5x + -2) Reorder the terms: 4 + 12x = -2(-2 + 5x) 4 + 12x = (-2 * -2 + 5x * -2) 4 + 12x = (4 + -10x) Add '-4' to each side of the equation. 4 + -4 + 12x = 4 + -4 + -10x Combine like terms: 4 + -4 = 0 0 + 12x = 4 + -4 + -10x 12x = 4 + -4 + -10x Combine like terms: 4 + -4 = 0 12x = 0 + -10x 12x = -10x Solving 12x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12x + 10x = -10x + 10x Combine like terms: 12x + 10x = 22x 22x = -10x + 10x Combine like terms: -10x + 10x = 0 22x = 0 Divide each side by '22'. x = 0 Simplifying x = 0
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