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Simplifying 3(6x + 2) = 8(2x + -2) Reorder the terms: 3(2 + 6x) = 8(2x + -2) (2 * 3 + 6x * 3) = 8(2x + -2) (6 + 18x) = 8(2x + -2) Reorder the terms: 6 + 18x = 8(-2 + 2x) 6 + 18x = (-2 * 8 + 2x * 8) 6 + 18x = (-16 + 16x) Solving 6 + 18x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 18x + -16x = -16 + 16x + -16x Combine like terms: 18x + -16x = 2x 6 + 2x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + 2x = -16 + 0 6 + 2x = -16 Add '-6' to each side of the equation. 6 + -6 + 2x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -16 + -6 2x = -16 + -6 Combine like terms: -16 + -6 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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