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Simplifying x + -27 = 5(2x + 3) + -6 Reorder the terms: -27 + x = 5(2x + 3) + -6 Reorder the terms: -27 + x = 5(3 + 2x) + -6 -27 + x = (3 * 5 + 2x * 5) + -6 -27 + x = (15 + 10x) + -6 Reorder the terms: -27 + x = 15 + -6 + 10x Combine like terms: 15 + -6 = 9 -27 + x = 9 + 10x Solving -27 + x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -27 + x + -10x = 9 + 10x + -10x Combine like terms: x + -10x = -9x -27 + -9x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + -9x = 9 + 0 -27 + -9x = 9 Add '27' to each side of the equation. -27 + 27 + -9x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = 9 + 27 -9x = 9 + 27 Combine like terms: 9 + 27 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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