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Simplifying 6(x + -1) = 9(x + -36) Reorder the terms: 6(-1 + x) = 9(x + -36) (-1 * 6 + x * 6) = 9(x + -36) (-6 + 6x) = 9(x + -36) Reorder the terms: -6 + 6x = 9(-36 + x) -6 + 6x = (-36 * 9 + x * 9) -6 + 6x = (-324 + 9x) Solving -6 + 6x = -324 + 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. -6 + 6x + -9x = -324 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = -324 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = -324 + 0 -6 + -3x = -324 Add '6' to each side of the equation. -6 + 6 + -3x = -324 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -324 + 6 -3x = -324 + 6 Combine like terms: -324 + 6 = -318 -3x = -318 Divide each side by '-3'. x = 106 Simplifying x = 106
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