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