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Simplifying -0.5(5x + -2) = -3(0.5x + -2) + -1 Reorder the terms: -0.5(-2 + 5x) = -3(0.5x + -2) + -1 (-2 * -0.5 + 5x * -0.5) = -3(0.5x + -2) + -1 (1 + -2.5x) = -3(0.5x + -2) + -1 Reorder the terms: 1 + -2.5x = -3(-2 + 0.5x) + -1 1 + -2.5x = (-2 * -3 + 0.5x * -3) + -1 1 + -2.5x = (6 + -1.5x) + -1 Reorder the terms: 1 + -2.5x = 6 + -1 + -1.5x Combine like terms: 6 + -1 = 5 1 + -2.5x = 5 + -1.5x Solving 1 + -2.5x = 5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 1 + -2.5x + 1.5x = 5 + -1.5x + 1.5x Combine like terms: -2.5x + 1.5x = -1x 1 + -1x = 5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1 + -1x = 5 + 0.0 1 + -1x = 5 Add '-1' to each side of the equation. 1 + -1 + -1x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 5 + -1 -1x = 5 + -1 Combine like terms: 5 + -1 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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