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Simplifying 3.5(x + 2.5) + -7.5 = 2(x + 4) + -6 Reorder the terms: 3.5(2.5 + x) + -7.5 = 2(x + 4) + -6 (2.5 * 3.5 + x * 3.5) + -7.5 = 2(x + 4) + -6 (8.75 + 3.5x) + -7.5 = 2(x + 4) + -6 Reorder the terms: 8.75 + -7.5 + 3.5x = 2(x + 4) + -6 Combine like terms: 8.75 + -7.5 = 1.25 1.25 + 3.5x = 2(x + 4) + -6 Reorder the terms: 1.25 + 3.5x = 2(4 + x) + -6 1.25 + 3.5x = (4 * 2 + x * 2) + -6 1.25 + 3.5x = (8 + 2x) + -6 Reorder the terms: 1.25 + 3.5x = 8 + -6 + 2x Combine like terms: 8 + -6 = 2 1.25 + 3.5x = 2 + 2x Solving 1.25 + 3.5x = 2 + 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. 1.25 + 3.5x + -2x = 2 + 2x + -2x Combine like terms: 3.5x + -2x = 1.5x 1.25 + 1.5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 1.25 + 1.5x = 2 + 0 1.25 + 1.5x = 2 Add '-1.25' to each side of the equation. 1.25 + -1.25 + 1.5x = 2 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 1.5x = 2 + -1.25 1.5x = 2 + -1.25 Combine like terms: 2 + -1.25 = 0.75 1.5x = 0.75 Divide each side by '1.5'. x = 0.5 Simplifying x = 0.5
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