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Simplifying 2.5(x + 1) = 1.15(x + 3) Reorder the terms: 2.5(1 + x) = 1.15(x + 3) (1 * 2.5 + x * 2.5) = 1.15(x + 3) (2.5 + 2.5x) = 1.15(x + 3) Reorder the terms: 2.5 + 2.5x = 1.15(3 + x) 2.5 + 2.5x = (3 * 1.15 + x * 1.15) 2.5 + 2.5x = (3.45 + 1.15x) Solving 2.5 + 2.5x = 3.45 + 1.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15x' to each side of the equation. 2.5 + 2.5x + -1.15x = 3.45 + 1.15x + -1.15x Combine like terms: 2.5x + -1.15x = 1.35x 2.5 + 1.35x = 3.45 + 1.15x + -1.15x Combine like terms: 1.15x + -1.15x = 0.00 2.5 + 1.35x = 3.45 + 0.00 2.5 + 1.35x = 3.45 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1.35x = 3.45 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.35x = 3.45 + -2.5 1.35x = 3.45 + -2.5 Combine like terms: 3.45 + -2.5 = 0.95 1.35x = 0.95 Divide each side by '1.35'. x = 0.7037037037 Simplifying x = 0.7037037037
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