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Simplifying (x + -6) + -1(x + 9) = 6x Reorder the terms: (-6 + x) + -1(x + 9) = 6x Remove parenthesis around (-6 + x) -6 + x + -1(x + 9) = 6x Reorder the terms: -6 + x + -1(9 + x) = 6x -6 + x + (9 * -1 + x * -1) = 6x -6 + x + (-9 + -1x) = 6x Reorder the terms: -6 + -9 + x + -1x = 6x Combine like terms: -6 + -9 = -15 -15 + x + -1x = 6x Combine like terms: x + -1x = 0 -15 + 0 = 6x -15 = 6x Solving -15 = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -6x = 0 Add '15' to each side of the equation. -15 + 15 + -6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 0 + 15 -6x = 0 + 15 Combine like terms: 0 + 15 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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