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Simplifying 0.5(10x + 2) = -3(2x + -4) Reorder the terms: 0.5(2 + 10x) = -3(2x + -4) (2 * 0.5 + 10x * 0.5) = -3(2x + -4) (1 + 5x) = -3(2x + -4) Reorder the terms: 1 + 5x = -3(-4 + 2x) 1 + 5x = (-4 * -3 + 2x * -3) 1 + 5x = (12 + -6x) Solving 1 + 5x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 5x + 6x = 12 + -6x + 6x Combine like terms: 5x + 6x = 11x 1 + 11x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 11x = 12 + 0 1 + 11x = 12 Add '-1' to each side of the equation. 1 + -1 + 11x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 12 + -1 11x = 12 + -1 Combine like terms: 12 + -1 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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