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Simplifying 5 + 2x = 3(x + 1.25) + -9 Reorder the terms: 5 + 2x = 3(1.25 + x) + -9 5 + 2x = (1.25 * 3 + x * 3) + -9 5 + 2x = (3.75 + 3x) + -9 Reorder the terms: 5 + 2x = 3.75 + -9 + 3x Combine like terms: 3.75 + -9 = -5.25 5 + 2x = -5.25 + 3x Solving 5 + 2x = -5.25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 2x + -3x = -5.25 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = -5.25 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = -5.25 + 0 5 + -1x = -5.25 Add '-5' to each side of the equation. 5 + -5 + -1x = -5.25 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -5.25 + -5 -1x = -5.25 + -5 Combine like terms: -5.25 + -5 = -10.25 -1x = -10.25 Divide each side by '-1'. x = 10.25 Simplifying x = 10.25
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