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Simplifying 2(x + 1) = 8(x + -1) + -20 Reorder the terms: 2(1 + x) = 8(x + -1) + -20 (1 * 2 + x * 2) = 8(x + -1) + -20 (2 + 2x) = 8(x + -1) + -20 Reorder the terms: 2 + 2x = 8(-1 + x) + -20 2 + 2x = (-1 * 8 + x * 8) + -20 2 + 2x = (-8 + 8x) + -20 Reorder the terms: 2 + 2x = -8 + -20 + 8x Combine like terms: -8 + -20 = -28 2 + 2x = -28 + 8x Solving 2 + 2x = -28 + 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. 2 + 2x + -8x = -28 + 8x + -8x Combine like terms: 2x + -8x = -6x 2 + -6x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -6x = -28 + 0 2 + -6x = -28 Add '-2' to each side of the equation. 2 + -2 + -6x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -28 + -2 -6x = -28 + -2 Combine like terms: -28 + -2 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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