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Simplifying (5x + -2) + 3(2x + 6) = 5x + -2 Reorder the terms: (-2 + 5x) + 3(2x + 6) = 5x + -2 Remove parenthesis around (-2 + 5x) -2 + 5x + 3(2x + 6) = 5x + -2 Reorder the terms: -2 + 5x + 3(6 + 2x) = 5x + -2 -2 + 5x + (6 * 3 + 2x * 3) = 5x + -2 -2 + 5x + (18 + 6x) = 5x + -2 Reorder the terms: -2 + 18 + 5x + 6x = 5x + -2 Combine like terms: -2 + 18 = 16 16 + 5x + 6x = 5x + -2 Combine like terms: 5x + 6x = 11x 16 + 11x = 5x + -2 Reorder the terms: 16 + 11x = -2 + 5x Solving 16 + 11x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 11x + -5x = -2 + 5x + -5x Combine like terms: 11x + -5x = 6x 16 + 6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 6x = -2 + 0 16 + 6x = -2 Add '-16' to each side of the equation. 16 + -16 + 6x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = -2 + -16 6x = -2 + -16 Combine like terms: -2 + -16 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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