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Simplifying 7 + -1(2x + 3) = 8 + -1(9 + -1x) Reorder the terms: 7 + -1(3 + 2x) = 8 + -1(9 + -1x) 7 + (3 * -1 + 2x * -1) = 8 + -1(9 + -1x) 7 + (-3 + -2x) = 8 + -1(9 + -1x) Combine like terms: 7 + -3 = 4 4 + -2x = 8 + -1(9 + -1x) 4 + -2x = 8 + (9 * -1 + -1x * -1) 4 + -2x = 8 + (-9 + 1x) Combine like terms: 8 + -9 = -1 4 + -2x = -1 + 1x Solving 4 + -2x = -1 + 1x 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. 4 + -2x + -1x = -1 + 1x + -1x Combine like terms: -2x + -1x = -3x 4 + -3x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + -3x = -1 + 0 4 + -3x = -1 Add '-4' to each side of the equation. 4 + -4 + -3x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -1 + -4 -3x = -1 + -4 Combine like terms: -1 + -4 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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