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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 = 6.5x -15 + 6.5x = 0.25(2x + -20) + 11 Reorder the terms: -15 + 6.5x = 0.25(-20 + 2x) + 11 -15 + 6.5x = (-20 * 0.25 + 2x * 0.25) + 11 -15 + 6.5x = (-5 + 0.5x) + 11 Reorder the terms: -15 + 6.5x = -5 + 11 + 0.5x Combine like terms: -5 + 11 = 6 -15 + 6.5x = 6 + 0.5x Solving -15 + 6.5x = 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 + 6.5x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 6.5x + -0.5x = 6x -15 + 6x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -15 + 6x = 6 + 0.0 -15 + 6x = 6 Add '15' to each side of the equation. -15 + 15 + 6x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 6 + 15 6x = 6 + 15 Combine like terms: 6 + 15 = 21 6x = 21 Divide each side by '6'. x = 3.5 Simplifying x = 3.5
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