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Simplifying 2(x + 3) + -20 = 5x + -1(x + 8) Reorder the terms: 2(3 + x) + -20 = 5x + -1(x + 8) (3 * 2 + x * 2) + -20 = 5x + -1(x + 8) (6 + 2x) + -20 = 5x + -1(x + 8) Reorder the terms: 6 + -20 + 2x = 5x + -1(x + 8) Combine like terms: 6 + -20 = -14 -14 + 2x = 5x + -1(x + 8) Reorder the terms: -14 + 2x = 5x + -1(8 + x) -14 + 2x = 5x + (8 * -1 + x * -1) -14 + 2x = 5x + (-8 + -1x) Reorder the terms: -14 + 2x = -8 + 5x + -1x Combine like terms: 5x + -1x = 4x -14 + 2x = -8 + 4x Solving -14 + 2x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x -14 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -2x = -8 + 0 -14 + -2x = -8 Add '14' to each side of the equation. -14 + 14 + -2x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -8 + 14 -2x = -8 + 14 Combine like terms: -8 + 14 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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