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Simplifying 0.25(-8x + 12) + -2x = 0.75(28 + -24x) Reorder the terms: 0.25(12 + -8x) + -2x = 0.75(28 + -24x) (12 * 0.25 + -8x * 0.25) + -2x = 0.75(28 + -24x) (3 + -2x) + -2x = 0.75(28 + -24x) Combine like terms: -2x + -2x = -4x 3 + -4x = 0.75(28 + -24x) 3 + -4x = (28 * 0.75 + -24x * 0.75) 3 + -4x = (21 + -18x) Solving 3 + -4x = 21 + -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. 3 + -4x + 18x = 21 + -18x + 18x Combine like terms: -4x + 18x = 14x 3 + 14x = 21 + -18x + 18x Combine like terms: -18x + 18x = 0 3 + 14x = 21 + 0 3 + 14x = 21 Add '-3' to each side of the equation. 3 + -3 + 14x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 21 + -3 14x = 21 + -3 Combine like terms: 21 + -3 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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