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Simplifying 3(0.75x + 10) + 2.5x + -15 = 2(1.75x + 12.5) + -0.75x + 4 Reorder the terms: 3(10 + 0.75x) + 2.5x + -15 = 2(1.75x + 12.5) + -0.75x + 4 (10 * 3 + 0.75x * 3) + 2.5x + -15 = 2(1.75x + 12.5) + -0.75x + 4 (30 + 2.25x) + 2.5x + -15 = 2(1.75x + 12.5) + -0.75x + 4 Reorder the terms: 30 + -15 + 2.25x + 2.5x = 2(1.75x + 12.5) + -0.75x + 4 Combine like terms: 30 + -15 = 15 15 + 2.25x + 2.5x = 2(1.75x + 12.5) + -0.75x + 4 Combine like terms: 2.25x + 2.5x = 4.75x 15 + 4.75x = 2(1.75x + 12.5) + -0.75x + 4 Reorder the terms: 15 + 4.75x = 2(12.5 + 1.75x) + -0.75x + 4 15 + 4.75x = (12.5 * 2 + 1.75x * 2) + -0.75x + 4 15 + 4.75x = (25 + 3.5x) + -0.75x + 4 Reorder the terms: 15 + 4.75x = 25 + 4 + 3.5x + -0.75x Combine like terms: 25 + 4 = 29 15 + 4.75x = 29 + 3.5x + -0.75x Combine like terms: 3.5x + -0.75x = 2.75x 15 + 4.75x = 29 + 2.75x Solving 15 + 4.75x = 29 + 2.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75x' to each side of the equation. 15 + 4.75x + -2.75x = 29 + 2.75x + -2.75x Combine like terms: 4.75x + -2.75x = 2x 15 + 2x = 29 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 15 + 2x = 29 + 0.00 15 + 2x = 29 Add '-15' to each side of the equation. 15 + -15 + 2x = 29 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 29 + -15 2x = 29 + -15 Combine like terms: 29 + -15 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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