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Simplifying 2(4 + x) + -7 = x + -6 (4 * 2 + x * 2) + -7 = x + -6 (8 + 2x) + -7 = x + -6 Reorder the terms: 8 + -7 + 2x = x + -6 Combine like terms: 8 + -7 = 1 1 + 2x = x + -6 Reorder the terms: 1 + 2x = -6 + x Solving 1 + 2x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 2x + -1x = -6 + x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = -6 + x + -1x Combine like terms: x + -1x = 0 1 + 1x = -6 + 0 1 + 1x = -6 Add '-1' to each side of the equation. 1 + -1 + 1x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -6 + -1 1x = -6 + -1 Combine like terms: -6 + -1 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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