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Simplifying 6(x + 8) = -2(x + 17) Reorder the terms: 6(8 + x) = -2(x + 17) (8 * 6 + x * 6) = -2(x + 17) (48 + 6x) = -2(x + 17) Reorder the terms: 48 + 6x = -2(17 + x) 48 + 6x = (17 * -2 + x * -2) 48 + 6x = (-34 + -2x) Solving 48 + 6x = -34 + -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. 48 + 6x + 2x = -34 + -2x + 2x Combine like terms: 6x + 2x = 8x 48 + 8x = -34 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 8x = -34 + 0 48 + 8x = -34 Add '-48' to each side of the equation. 48 + -48 + 8x = -34 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = -34 + -48 8x = -34 + -48 Combine like terms: -34 + -48 = -82 8x = -82 Divide each side by '8'. x = -10.25 Simplifying x = -10.25
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