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Simplifying 3(6 + 2x) = 8(x + -2) (6 * 3 + 2x * 3) = 8(x + -2) (18 + 6x) = 8(x + -2) Reorder the terms: 18 + 6x = 8(-2 + x) 18 + 6x = (-2 * 8 + x * 8) 18 + 6x = (-16 + 8x) Solving 18 + 6x = -16 + 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. 18 + 6x + -8x = -16 + 8x + -8x Combine like terms: 6x + -8x = -2x 18 + -2x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -2x = -16 + 0 18 + -2x = -16 Add '-18' to each side of the equation. 18 + -18 + -2x = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -16 + -18 -2x = -16 + -18 Combine like terms: -16 + -18 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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