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Simplifying 6(x + 3) = -2(x + -8) Reorder the terms: 6(3 + x) = -2(x + -8) (3 * 6 + x * 6) = -2(x + -8) (18 + 6x) = -2(x + -8) Reorder the terms: 18 + 6x = -2(-8 + x) 18 + 6x = (-8 * -2 + x * -2) 18 + 6x = (16 + -2x) Solving 18 + 6x = 16 + -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. 18 + 6x + 2x = 16 + -2x + 2x Combine like terms: 6x + 2x = 8x 18 + 8x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 8x = 16 + 0 18 + 8x = 16 Add '-18' to each side of the equation. 18 + -18 + 8x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 16 + -18 8x = 16 + -18 Combine like terms: 16 + -18 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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