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