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Simplifying 6(x + -6) = x(16 + -7) Reorder the terms: 6(-6 + x) = x(16 + -7) (-6 * 6 + x * 6) = x(16 + -7) (-36 + 6x) = x(16 + -7) Combine like terms: 16 + -7 = 9 -36 + 6x = x(9) Reorder the terms for easier multiplication: -36 + 6x = 9x Solving -36 + 6x = 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 = 9x + -9x Combine like terms: 6x + -9x = -3x -36 + -3x = 9x + -9x Combine like terms: 9x + -9x = 0 -36 + -3x = 0 Add '36' to each side of the equation. -36 + 36 + -3x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = 0 + 36 -3x = 0 + 36 Combine like terms: 0 + 36 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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