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Simplifying (2x + -2) + 2(3x + 8) = 5x + -1 Reorder the terms: (-2 + 2x) + 2(3x + 8) = 5x + -1 Remove parenthesis around (-2 + 2x) -2 + 2x + 2(3x + 8) = 5x + -1 Reorder the terms: -2 + 2x + 2(8 + 3x) = 5x + -1 -2 + 2x + (8 * 2 + 3x * 2) = 5x + -1 -2 + 2x + (16 + 6x) = 5x + -1 Reorder the terms: -2 + 16 + 2x + 6x = 5x + -1 Combine like terms: -2 + 16 = 14 14 + 2x + 6x = 5x + -1 Combine like terms: 2x + 6x = 8x 14 + 8x = 5x + -1 Reorder the terms: 14 + 8x = -1 + 5x Solving 14 + 8x = -1 + 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. 14 + 8x + -5x = -1 + 5x + -5x Combine like terms: 8x + -5x = 3x 14 + 3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 3x = -1 + 0 14 + 3x = -1 Add '-14' to each side of the equation. 14 + -14 + 3x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -1 + -14 3x = -1 + -14 Combine like terms: -1 + -14 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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