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Simplifying 0.5(10 + x) = x(3 + -2) + 1 (10 * 0.5 + x * 0.5) = x(3 + -2) + 1 (5 + 0.5x) = x(3 + -2) + 1 Combine like terms: 3 + -2 = 1 5 + 0.5x = x(1) + 1 Reorder the terms for easier multiplication: 5 + 0.5x = 1x + 1 Reorder the terms: 5 + 0.5x = 1 + 1x Solving 5 + 0.5x = 1 + 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. 5 + 0.5x + -1x = 1 + 1x + -1x Combine like terms: 0.5x + -1x = -0.5x 5 + -0.5x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -0.5x = 1 + 0 5 + -0.5x = 1 Add '-5' to each side of the equation. 5 + -5 + -0.5x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = 1 + -5 -0.5x = 1 + -5 Combine like terms: 1 + -5 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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