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Simplifying 0.333333333333333(6x + 24) + -20 = 0.25(12x + -72) Reorder the terms: 0.333333333333333(24 + 6x) + -20 = 0.25(12x + -72) (24 * 0.333333333333333 + 6x * 0.333333333333333) + -20 = 0.25(12x + -72) (8 + 2x) + -20 = 0.25(12x + -72) Reorder the terms: 8 + -20 + 2x = 0.25(12x + -72) Combine like terms: 8 + -20 = -12 -12 + 2x = 0.25(12x + -72) Reorder the terms: -12 + 2x = 0.25(-72 + 12x) -12 + 2x = (-72 * 0.25 + 12x * 0.25) -12 + 2x = (-18 + 3x) Solving -12 + 2x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 2x + -3x = -18 + 3x + -3x Combine like terms: 2x + -3x = -1x -12 + -1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -1x = -18 + 0 -12 + -1x = -18 Add '12' to each side of the equation. -12 + 12 + -1x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -18 + 12 -1x = -18 + 12 Combine like terms: -18 + 12 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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