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Simplifying 0.25(8x + 12) = 3x + -0.4 Reorder the terms: 0.25(12 + 8x) = 3x + -0.4 (12 * 0.25 + 8x * 0.25) = 3x + -0.4 (3 + 2x) = 3x + -0.4 Reorder the terms: 3 + 2x = -0.4 + 3x Solving 3 + 2x = -0.4 + 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. 3 + 2x + -3x = -0.4 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = -0.4 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = -0.4 + 0 3 + -1x = -0.4 Add '-3' to each side of the equation. 3 + -3 + -1x = -0.4 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -0.4 + -3 -1x = -0.4 + -3 Combine like terms: -0.4 + -3 = -3.4 -1x = -3.4 Divide each side by '-1'. x = 3.4 Simplifying x = 3.4
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