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Simplifying x + 3 + 5 = 1.25(x + 5) Reorder the terms: 3 + 5 + x = 1.25(x + 5) Combine like terms: 3 + 5 = 8 8 + x = 1.25(x + 5) Reorder the terms: 8 + x = 1.25(5 + x) 8 + x = (5 * 1.25 + x * 1.25) 8 + x = (6.25 + 1.25x) Solving 8 + x = 6.25 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 8 + x + -1.25x = 6.25 + 1.25x + -1.25x Combine like terms: x + -1.25x = -0.25x 8 + -0.25x = 6.25 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 8 + -0.25x = 6.25 + 0.00 8 + -0.25x = 6.25 Add '-8' to each side of the equation. 8 + -8 + -0.25x = 6.25 + -8 Combine like terms: 8 + -8 = 0 0 + -0.25x = 6.25 + -8 -0.25x = 6.25 + -8 Combine like terms: 6.25 + -8 = -1.75 -0.25x = -1.75 Divide each side by '-0.25'. x = 7 Simplifying x = 7
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