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Simplifying 0.5(x + -3) + -1(1.5 + -1x) = 5x Reorder the terms: 0.5(-3 + x) + -1(1.5 + -1x) = 5x (-3 * 0.5 + x * 0.5) + -1(1.5 + -1x) = 5x (-1.5 + 0.5x) + -1(1.5 + -1x) = 5x -1.5 + 0.5x + (1.5 * -1 + -1x * -1) = 5x -1.5 + 0.5x + (-1.5 + 1x) = 5x Reorder the terms: -1.5 + -1.5 + 0.5x + 1x = 5x Combine like terms: -1.5 + -1.5 = -3 -3 + 0.5x + 1x = 5x Combine like terms: 0.5x + 1x = 1.5x -3 + 1.5x = 5x Solving -3 + 1.5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 1.5x + -5x = 5x + -5x Combine like terms: 1.5x + -5x = -3.5x -3 + -3.5x = 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3.5x = 0 Add '3' to each side of the equation. -3 + 3 + -3.5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3.5x = 0 + 3 -3.5x = 0 + 3 Combine like terms: 0 + 3 = 3 -3.5x = 3 Divide each side by '-3.5'. x = -0.8571428571 Simplifying x = -0.8571428571
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