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