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Simplifying 5(x + -6) + 8 = 9(x + 2) + -6 Reorder the terms: 5(-6 + x) + 8 = 9(x + 2) + -6 (-6 * 5 + x * 5) + 8 = 9(x + 2) + -6 (-30 + 5x) + 8 = 9(x + 2) + -6 Reorder the terms: -30 + 8 + 5x = 9(x + 2) + -6 Combine like terms: -30 + 8 = -22 -22 + 5x = 9(x + 2) + -6 Reorder the terms: -22 + 5x = 9(2 + x) + -6 -22 + 5x = (2 * 9 + x * 9) + -6 -22 + 5x = (18 + 9x) + -6 Reorder the terms: -22 + 5x = 18 + -6 + 9x Combine like terms: 18 + -6 = 12 -22 + 5x = 12 + 9x Solving -22 + 5x = 12 + 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. -22 + 5x + -9x = 12 + 9x + -9x Combine like terms: 5x + -9x = -4x -22 + -4x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -22 + -4x = 12 + 0 -22 + -4x = 12 Add '22' to each side of the equation. -22 + 22 + -4x = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = 12 + 22 -4x = 12 + 22 Combine like terms: 12 + 22 = 34 -4x = 34 Divide each side by '-4'. x = -8.5 Simplifying x = -8.5
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