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Simplifying 2(x + 4) + -7 = 0.5(5 + 2x) Reorder the terms: 2(4 + x) + -7 = 0.5(5 + 2x) (4 * 2 + x * 2) + -7 = 0.5(5 + 2x) (8 + 2x) + -7 = 0.5(5 + 2x) Reorder the terms: 8 + -7 + 2x = 0.5(5 + 2x) Combine like terms: 8 + -7 = 1 1 + 2x = 0.5(5 + 2x) 1 + 2x = (5 * 0.5 + 2x * 0.5) 1 + 2x = (2.5 + 1x) Solving 1 + 2x = 2.5 + 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 + 2x + -1x = 2.5 + 1x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 2.5 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 1x = 2.5 + 0 1 + 1x = 2.5 Add '-1' to each side of the equation. 1 + -1 + 1x = 2.5 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 2.5 + -1 1x = 2.5 + -1 Combine like terms: 2.5 + -1 = 1.5 1x = 1.5 Divide each side by '1'. x = 1.5 Simplifying x = 1.5
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