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Simplifying (2x + -2) + 3(2x + 6) = 6x + -2 Reorder the terms: (-2 + 2x) + 3(2x + 6) = 6x + -2 Remove parenthesis around (-2 + 2x) -2 + 2x + 3(2x + 6) = 6x + -2 Reorder the terms: -2 + 2x + 3(6 + 2x) = 6x + -2 -2 + 2x + (6 * 3 + 2x * 3) = 6x + -2 -2 + 2x + (18 + 6x) = 6x + -2 Reorder the terms: -2 + 18 + 2x + 6x = 6x + -2 Combine like terms: -2 + 18 = 16 16 + 2x + 6x = 6x + -2 Combine like terms: 2x + 6x = 8x 16 + 8x = 6x + -2 Reorder the terms: 16 + 8x = -2 + 6x Solving 16 + 8x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 8x + -6x = -2 + 6x + -6x Combine like terms: 8x + -6x = 2x 16 + 2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 2x = -2 + 0 16 + 2x = -2 Add '-16' to each side of the equation. 16 + -16 + 2x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = -2 + -16 2x = -2 + -16 Combine like terms: -2 + -16 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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