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