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Simplifying 2(x + 4) + -1x = 2(3 + -1x) + -7 Reorder the terms: 2(4 + x) + -1x = 2(3 + -1x) + -7 (4 * 2 + x * 2) + -1x = 2(3 + -1x) + -7 (8 + 2x) + -1x = 2(3 + -1x) + -7 Combine like terms: 2x + -1x = 1x 8 + 1x = 2(3 + -1x) + -7 8 + 1x = (3 * 2 + -1x * 2) + -7 8 + 1x = (6 + -2x) + -7 Reorder the terms: 8 + 1x = 6 + -7 + -2x Combine like terms: 6 + -7 = -1 8 + 1x = -1 + -2x Solving 8 + 1x = -1 + -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. 8 + 1x + 2x = -1 + -2x + 2x Combine like terms: 1x + 2x = 3x 8 + 3x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 3x = -1 + 0 8 + 3x = -1 Add '-8' to each side of the equation. 8 + -8 + 3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -1 + -8 3x = -1 + -8 Combine like terms: -1 + -8 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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