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Simplifying (2x + -2) + 2(3x + 7) = 5x + -3 Reorder the terms: (-2 + 2x) + 2(3x + 7) = 5x + -3 Remove parenthesis around (-2 + 2x) -2 + 2x + 2(3x + 7) = 5x + -3 Reorder the terms: -2 + 2x + 2(7 + 3x) = 5x + -3 -2 + 2x + (7 * 2 + 3x * 2) = 5x + -3 -2 + 2x + (14 + 6x) = 5x + -3 Reorder the terms: -2 + 14 + 2x + 6x = 5x + -3 Combine like terms: -2 + 14 = 12 12 + 2x + 6x = 5x + -3 Combine like terms: 2x + 6x = 8x 12 + 8x = 5x + -3 Reorder the terms: 12 + 8x = -3 + 5x Solving 12 + 8x = -3 + 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. 12 + 8x + -5x = -3 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = -3 + 0 12 + 3x = -3 Add '-12' to each side of the equation. 12 + -12 + 3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -3 + -12 3x = -3 + -12 Combine like terms: -3 + -12 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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