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Simplifying -27 = 5(2x + 3) + -2 Reorder the terms: -27 = 5(3 + 2x) + -2 -27 = (3 * 5 + 2x * 5) + -2 -27 = (15 + 10x) + -2 Reorder the terms: -27 = 15 + -2 + 10x Combine like terms: 15 + -2 = 13 -27 = 13 + 10x Solving -27 = 13 + 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 + -10x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + -10x = 13 + 0 -27 + -10x = 13 Add '27' to each side of the equation. -27 + 27 + -10x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + -10x = 13 + 27 -10x = 13 + 27 Combine like terms: 13 + 27 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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