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Simplifying -1.5(x + -10) + 5x = 0.25(2x + -20) + 11 Reorder the terms: -1.5(-10 + x) + 5x = 0.25(2x + -20) + 11 (-10 * -1.5 + x * -1.5) + 5x = 0.25(2x + -20) + 11 (15 + -1.5x) + 5x = 0.25(2x + -20) + 11 Combine like terms: -1.5x + 5x = 3.5x 15 + 3.5x = 0.25(2x + -20) + 11 Reorder the terms: 15 + 3.5x = 0.25(-20 + 2x) + 11 15 + 3.5x = (-20 * 0.25 + 2x * 0.25) + 11 15 + 3.5x = (-5 + 0.5x) + 11 Reorder the terms: 15 + 3.5x = -5 + 11 + 0.5x Combine like terms: -5 + 11 = 6 15 + 3.5x = 6 + 0.5x Solving 15 + 3.5x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 15 + 3.5x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 3.5x + -0.5x = 3x 15 + 3x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15 + 3x = 6 + 0.0 15 + 3x = 6 Add '-15' to each side of the equation. 15 + -15 + 3x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 6 + -15 3x = 6 + -15 Combine like terms: 6 + -15 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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