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Simplifying x + 2.5 = 0.5(50 + 4x + 5) Reorder the terms: 2.5 + x = 0.5(50 + 4x + 5) Reorder the terms: 2.5 + x = 0.5(50 + 5 + 4x) Combine like terms: 50 + 5 = 55 2.5 + x = 0.5(55 + 4x) 2.5 + x = (55 * 0.5 + 4x * 0.5) 2.5 + x = (27.5 + 2x) Solving 2.5 + x = 27.5 + 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 = 27.5 + 2x + -2x Combine like terms: x + -2x = -1x 2.5 + -1x = 27.5 + 2x + -2x Combine like terms: 2x + -2x = 0 2.5 + -1x = 27.5 + 0 2.5 + -1x = 27.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1x = 27.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1x = 27.5 + -2.5 -1x = 27.5 + -2.5 Combine like terms: 27.5 + -2.5 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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