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Simplifying -2x + -2 + 7(x + 1) = 2x + -4 Reorder the terms: -2x + -2 + 7(1 + x) = 2x + -4 -2x + -2 + (1 * 7 + x * 7) = 2x + -4 -2x + -2 + (7 + 7x) = 2x + -4 Reorder the terms: -2 + 7 + -2x + 7x = 2x + -4 Combine like terms: -2 + 7 = 5 5 + -2x + 7x = 2x + -4 Combine like terms: -2x + 7x = 5x 5 + 5x = 2x + -4 Reorder the terms: 5 + 5x = -4 + 2x Solving 5 + 5x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 5x + -2x = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = -4 + 0 5 + 3x = -4 Add '-5' to each side of the equation. 5 + -5 + 3x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -4 + -5 3x = -4 + -5 Combine like terms: -4 + -5 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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