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Simplifying 4(2x + -1) + 12 = 2(6 + -3x) Reorder the terms: 4(-1 + 2x) + 12 = 2(6 + -3x) (-1 * 4 + 2x * 4) + 12 = 2(6 + -3x) (-4 + 8x) + 12 = 2(6 + -3x) Reorder the terms: -4 + 12 + 8x = 2(6 + -3x) Combine like terms: -4 + 12 = 8 8 + 8x = 2(6 + -3x) 8 + 8x = (6 * 2 + -3x * 2) 8 + 8x = (12 + -6x) Solving 8 + 8x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 8x + 6x = 12 + -6x + 6x Combine like terms: 8x + 6x = 14x 8 + 14x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 14x = 12 + 0 8 + 14x = 12 Add '-8' to each side of the equation. 8 + -8 + 14x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 12 + -8 14x = 12 + -8 Combine like terms: 12 + -8 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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