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Simplifying 2(x + 3) + -1(x + 5) = 8x + 20 Reorder the terms: 2(3 + x) + -1(x + 5) = 8x + 20 (3 * 2 + x * 2) + -1(x + 5) = 8x + 20 (6 + 2x) + -1(x + 5) = 8x + 20 Reorder the terms: 6 + 2x + -1(5 + x) = 8x + 20 6 + 2x + (5 * -1 + x * -1) = 8x + 20 6 + 2x + (-5 + -1x) = 8x + 20 Reorder the terms: 6 + -5 + 2x + -1x = 8x + 20 Combine like terms: 6 + -5 = 1 1 + 2x + -1x = 8x + 20 Combine like terms: 2x + -1x = 1x 1 + 1x = 8x + 20 Reorder the terms: 1 + 1x = 20 + 8x Solving 1 + 1x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 1x + -8x = 20 + 8x + -8x Combine like terms: 1x + -8x = -7x 1 + -7x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -7x = 20 + 0 1 + -7x = 20 Add '-1' to each side of the equation. 1 + -1 + -7x = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 20 + -1 -7x = 20 + -1 Combine like terms: 20 + -1 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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