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Simplifying 0.5(x + 4) = x + -2.5 Reorder the terms: 0.5(4 + x) = x + -2.5 (4 * 0.5 + x * 0.5) = x + -2.5 (2 + 0.5x) = x + -2.5 Reorder the terms: 2 + 0.5x = -2.5 + x Solving 2 + 0.5x = -2.5 + x 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. 2 + 0.5x + -1x = -2.5 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 2 + -0.5x = -2.5 + x + -1x Combine like terms: x + -1x = 0 2 + -0.5x = -2.5 + 0 2 + -0.5x = -2.5 Add '-2' to each side of the equation. 2 + -2 + -0.5x = -2.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x = -2.5 + -2 -0.5x = -2.5 + -2 Combine like terms: -2.5 + -2 = -4.5 -0.5x = -4.5 Divide each side by '-0.5'. x = 9 Simplifying x = 9
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