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