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Simplifying 9(x + -6) + 6 = 5(x + 2) + -12 Reorder the terms: 9(-6 + x) + 6 = 5(x + 2) + -12 (-6 * 9 + x * 9) + 6 = 5(x + 2) + -12 (-54 + 9x) + 6 = 5(x + 2) + -12 Reorder the terms: -54 + 6 + 9x = 5(x + 2) + -12 Combine like terms: -54 + 6 = -48 -48 + 9x = 5(x + 2) + -12 Reorder the terms: -48 + 9x = 5(2 + x) + -12 -48 + 9x = (2 * 5 + x * 5) + -12 -48 + 9x = (10 + 5x) + -12 Reorder the terms: -48 + 9x = 10 + -12 + 5x Combine like terms: 10 + -12 = -2 -48 + 9x = -2 + 5x Solving -48 + 9x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 9x + -5x = -2 + 5x + -5x Combine like terms: 9x + -5x = 4x -48 + 4x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 4x = -2 + 0 -48 + 4x = -2 Add '48' to each side of the equation. -48 + 48 + 4x = -2 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = -2 + 48 4x = -2 + 48 Combine like terms: -2 + 48 = 46 4x = 46 Divide each side by '4'. x = 11.5 Simplifying x = 11.5
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