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Simplifying 4(5x + -2) + 8 = 12 + -1(6x + -5) Reorder the terms: 4(-2 + 5x) + 8 = 12 + -1(6x + -5) (-2 * 4 + 5x * 4) + 8 = 12 + -1(6x + -5) (-8 + 20x) + 8 = 12 + -1(6x + -5) Reorder the terms: -8 + 8 + 20x = 12 + -1(6x + -5) Combine like terms: -8 + 8 = 0 0 + 20x = 12 + -1(6x + -5) 20x = 12 + -1(6x + -5) Reorder the terms: 20x = 12 + -1(-5 + 6x) 20x = 12 + (-5 * -1 + 6x * -1) 20x = 12 + (5 + -6x) Combine like terms: 12 + 5 = 17 20x = 17 + -6x Solving 20x = 17 + -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. 20x + 6x = 17 + -6x + 6x Combine like terms: 20x + 6x = 26x 26x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 26x = 17 + 0 26x = 17 Divide each side by '26'. x = 0.6538461538 Simplifying x = 0.6538461538
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