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Simplifying 0.25(12x + -20) + -11 = 0.75(24x + 40) Reorder the terms: 0.25(-20 + 12x) + -11 = 0.75(24x + 40) (-20 * 0.25 + 12x * 0.25) + -11 = 0.75(24x + 40) (-5 + 3x) + -11 = 0.75(24x + 40) Reorder the terms: -5 + -11 + 3x = 0.75(24x + 40) Combine like terms: -5 + -11 = -16 -16 + 3x = 0.75(24x + 40) Reorder the terms: -16 + 3x = 0.75(40 + 24x) -16 + 3x = (40 * 0.75 + 24x * 0.75) -16 + 3x = (30 + 18x) Solving -16 + 3x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -16 + 3x + -18x = 30 + 18x + -18x Combine like terms: 3x + -18x = -15x -16 + -15x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 -16 + -15x = 30 + 0 -16 + -15x = 30 Add '16' to each side of the equation. -16 + 16 + -15x = 30 + 16 Combine like terms: -16 + 16 = 0 0 + -15x = 30 + 16 -15x = 30 + 16 Combine like terms: 30 + 16 = 46 -15x = 46 Divide each side by '-15'. x = -3.066666667 Simplifying x = -3.066666667
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