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Simplifying -5(6 + -1x) = 9(x + 2) + -16 (6 * -5 + -1x * -5) = 9(x + 2) + -16 (-30 + 5x) = 9(x + 2) + -16 Reorder the terms: -30 + 5x = 9(2 + x) + -16 -30 + 5x = (2 * 9 + x * 9) + -16 -30 + 5x = (18 + 9x) + -16 Reorder the terms: -30 + 5x = 18 + -16 + 9x Combine like terms: 18 + -16 = 2 -30 + 5x = 2 + 9x Solving -30 + 5x = 2 + 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. -30 + 5x + -9x = 2 + 9x + -9x Combine like terms: 5x + -9x = -4x -30 + -4x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -4x = 2 + 0 -30 + -4x = 2 Add '30' to each side of the equation. -30 + 30 + -4x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = 2 + 30 -4x = 2 + 30 Combine like terms: 2 + 30 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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