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Simplifying 3(0.75x + 10) + 2.5x + -15 = 2(1.5x + 12) + x + -4 Reorder the terms: 3(10 + 0.75x) + 2.5x + -15 = 2(1.5x + 12) + x + -4 (10 * 3 + 0.75x * 3) + 2.5x + -15 = 2(1.5x + 12) + x + -4 (30 + 2.25x) + 2.5x + -15 = 2(1.5x + 12) + x + -4 Reorder the terms: 30 + -15 + 2.25x + 2.5x = 2(1.5x + 12) + x + -4 Combine like terms: 30 + -15 = 15 15 + 2.25x + 2.5x = 2(1.5x + 12) + x + -4 Combine like terms: 2.25x + 2.5x = 4.75x 15 + 4.75x = 2(1.5x + 12) + x + -4 Reorder the terms: 15 + 4.75x = 2(12 + 1.5x) + x + -4 15 + 4.75x = (12 * 2 + 1.5x * 2) + x + -4 15 + 4.75x = (24 + 3x) + x + -4 Reorder the terms: 15 + 4.75x = 24 + -4 + 3x + x Combine like terms: 24 + -4 = 20 15 + 4.75x = 20 + 3x + x Combine like terms: 3x + x = 4x 15 + 4.75x = 20 + 4x Solving 15 + 4.75x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 4.75x + -4x = 20 + 4x + -4x Combine like terms: 4.75x + -4x = 0.75x 15 + 0.75x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 0.75x = 20 + 0 15 + 0.75x = 20 Add '-15' to each side of the equation. 15 + -15 + 0.75x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 0.75x = 20 + -15 0.75x = 20 + -15 Combine like terms: 20 + -15 = 5 0.75x = 5 Divide each side by '0.75'. x = 6.666666667 Simplifying x = 6.666666667
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