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Simplifying x + -1(3x + -7) = x + 2 Reorder the terms: x + -1(-7 + 3x) = x + 2 x + (-7 * -1 + 3x * -1) = x + 2 x + (7 + -3x) = x + 2 Reorder the terms: 7 + x + -3x = x + 2 Combine like terms: x + -3x = -2x 7 + -2x = x + 2 Reorder the terms: 7 + -2x = 2 + x Solving 7 + -2x = 2 + 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. 7 + -2x + -1x = 2 + x + -1x Combine like terms: -2x + -1x = -3x 7 + -3x = 2 + x + -1x Combine like terms: x + -1x = 0 7 + -3x = 2 + 0 7 + -3x = 2 Add '-7' to each side of the equation. 7 + -7 + -3x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 2 + -7 -3x = 2 + -7 Combine like terms: 2 + -7 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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