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Simplifying 4(6x + 1) = -2(x + -5) + 10 Reorder the terms: 4(1 + 6x) = -2(x + -5) + 10 (1 * 4 + 6x * 4) = -2(x + -5) + 10 (4 + 24x) = -2(x + -5) + 10 Reorder the terms: 4 + 24x = -2(-5 + x) + 10 4 + 24x = (-5 * -2 + x * -2) + 10 4 + 24x = (10 + -2x) + 10 Reorder the terms: 4 + 24x = 10 + 10 + -2x Combine like terms: 10 + 10 = 20 4 + 24x = 20 + -2x Solving 4 + 24x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 24x + 2x = 20 + -2x + 2x Combine like terms: 24x + 2x = 26x 4 + 26x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 26x = 20 + 0 4 + 26x = 20 Add '-4' to each side of the equation. 4 + -4 + 26x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 26x = 20 + -4 26x = 20 + -4 Combine like terms: 20 + -4 = 16 26x = 16 Divide each side by '26'. x = 0.6153846154 Simplifying x = 0.6153846154
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