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Simplifying 0.25(8x + -20) = 0.3333333333(15x + -6) Reorder the terms: 0.25(-20 + 8x) = 0.3333333333(15x + -6) (-20 * 0.25 + 8x * 0.25) = 0.3333333333(15x + -6) (-5 + 2x) = 0.3333333333(15x + -6) Reorder the terms: -5 + 2x = 0.3333333333(-6 + 15x) -5 + 2x = (-6 * 0.3333333333 + 15x * 0.3333333333) -5 + 2x = (-2 + 5x) Solving -5 + 2x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 2x + -5x = -2 + 5x + -5x Combine like terms: 2x + -5x = -3x -5 + -3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -3x = -2 + 0 -5 + -3x = -2 Add '5' to each side of the equation. -5 + 5 + -3x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -2 + 5 -3x = -2 + 5 Combine like terms: -2 + 5 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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