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Simplifying 7 + -1(3x + 5) = 9 + -1(x + -7) Reorder the terms: 7 + -1(5 + 3x) = 9 + -1(x + -7) 7 + (5 * -1 + 3x * -1) = 9 + -1(x + -7) 7 + (-5 + -3x) = 9 + -1(x + -7) Combine like terms: 7 + -5 = 2 2 + -3x = 9 + -1(x + -7) Reorder the terms: 2 + -3x = 9 + -1(-7 + x) 2 + -3x = 9 + (-7 * -1 + x * -1) 2 + -3x = 9 + (7 + -1x) Combine like terms: 9 + 7 = 16 2 + -3x = 16 + -1x Solving 2 + -3x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -3x + x = 16 + -1x + x Combine like terms: -3x + x = -2x 2 + -2x = 16 + -1x + x Combine like terms: -1x + x = 0 2 + -2x = 16 + 0 2 + -2x = 16 Add '-2' to each side of the equation. 2 + -2 + -2x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 16 + -2 -2x = 16 + -2 Combine like terms: 16 + -2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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