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Simplifying -1.5(x + 1) = 0.5(x + -9) Reorder the terms: -1.5(1 + x) = 0.5(x + -9) (1 * -1.5 + x * -1.5) = 0.5(x + -9) (-1.5 + -1.5x) = 0.5(x + -9) Reorder the terms: -1.5 + -1.5x = 0.5(-9 + x) -1.5 + -1.5x = (-9 * 0.5 + x * 0.5) -1.5 + -1.5x = (-4.5 + 0.5x) Solving -1.5 + -1.5x = -4.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1.5 + -1.5x + -0.5x = -4.5 + 0.5x + -0.5x Combine like terms: -1.5x + -0.5x = -2x -1.5 + -2x = -4.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.5 + -2x = -4.5 + 0.0 -1.5 + -2x = -4.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2x = -4.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2x = -4.5 + 1.5 -2x = -4.5 + 1.5 Combine like terms: -4.5 + 1.5 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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