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Simplifying 2 + 8(x + 7) = -2(x + -4) Reorder the terms: 2 + 8(7 + x) = -2(x + -4) 2 + (7 * 8 + x * 8) = -2(x + -4) 2 + (56 + 8x) = -2(x + -4) Combine like terms: 2 + 56 = 58 58 + 8x = -2(x + -4) Reorder the terms: 58 + 8x = -2(-4 + x) 58 + 8x = (-4 * -2 + x * -2) 58 + 8x = (8 + -2x) Solving 58 + 8x = 8 + -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. 58 + 8x + 2x = 8 + -2x + 2x Combine like terms: 8x + 2x = 10x 58 + 10x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 58 + 10x = 8 + 0 58 + 10x = 8 Add '-58' to each side of the equation. 58 + -58 + 10x = 8 + -58 Combine like terms: 58 + -58 = 0 0 + 10x = 8 + -58 10x = 8 + -58 Combine like terms: 8 + -58 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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