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Simplifying 6(x + -6) = 9(x + -11) Reorder the terms: 6(-6 + x) = 9(x + -11) (-6 * 6 + x * 6) = 9(x + -11) (-36 + 6x) = 9(x + -11) Reorder the terms: -36 + 6x = 9(-11 + x) -36 + 6x = (-11 * 9 + x * 9) -36 + 6x = (-99 + 9x) Solving -36 + 6x = -99 + 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. -36 + 6x + -9x = -99 + 9x + -9x Combine like terms: 6x + -9x = -3x -36 + -3x = -99 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + -3x = -99 + 0 -36 + -3x = -99 Add '36' to each side of the equation. -36 + 36 + -3x = -99 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = -99 + 36 -3x = -99 + 36 Combine like terms: -99 + 36 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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