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