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Simplifying 8(x + 1) = -2(3 + x) Reorder the terms: 8(1 + x) = -2(3 + x) (1 * 8 + x * 8) = -2(3 + x) (8 + 8x) = -2(3 + x) 8 + 8x = (3 * -2 + x * -2) 8 + 8x = (-6 + -2x) Solving 8 + 8x = -6 + -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. 8 + 8x + 2x = -6 + -2x + 2x Combine like terms: 8x + 2x = 10x 8 + 10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 10x = -6 + 0 8 + 10x = -6 Add '-8' to each side of the equation. 8 + -8 + 10x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -6 + -8 10x = -6 + -8 Combine like terms: -6 + -8 = -14 10x = -14 Divide each side by '10'. x = -1.4 Simplifying x = -1.4
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