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Simplifying 9 + -1(x + 6) = 9x + -7 Reorder the terms: 9 + -1(6 + x) = 9x + -7 9 + (6 * -1 + x * -1) = 9x + -7 9 + (-6 + -1x) = 9x + -7 Combine like terms: 9 + -6 = 3 3 + -1x = 9x + -7 Reorder the terms: 3 + -1x = -7 + 9x Solving 3 + -1x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + -1x + -9x = -7 + 9x + -9x Combine like terms: -1x + -9x = -10x 3 + -10x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -10x = -7 + 0 3 + -10x = -7 Add '-3' to each side of the equation. 3 + -3 + -10x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -7 + -3 -10x = -7 + -3 Combine like terms: -7 + -3 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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