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Simplifying (x + 2.5) = 0.5(4x + 5) + -50 Reorder the terms: (2.5 + x) = 0.5(4x + 5) + -50 Remove parenthesis around (2.5 + x) 2.5 + x = 0.5(4x + 5) + -50 Reorder the terms: 2.5 + x = 0.5(5 + 4x) + -50 2.5 + x = (5 * 0.5 + 4x * 0.5) + -50 2.5 + x = (2.5 + 2x) + -50 Reorder the terms: 2.5 + x = 2.5 + -50 + 2x Combine like terms: 2.5 + -50 = -47.5 2.5 + x = -47.5 + 2x Solving 2.5 + x = -47.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2.5 + x + -2x = -47.5 + 2x + -2x Combine like terms: x + -2x = -1x 2.5 + -1x = -47.5 + 2x + -2x Combine like terms: 2x + -2x = 0 2.5 + -1x = -47.5 + 0 2.5 + -1x = -47.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1x = -47.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1x = -47.5 + -2.5 -1x = -47.5 + -2.5 Combine like terms: -47.5 + -2.5 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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