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Simplifying -87 = 3x + 6(-5x + 17) Reorder the terms: -87 = 3x + 6(17 + -5x) -87 = 3x + (17 * 6 + -5x * 6) -87 = 3x + (102 + -30x) Reorder the terms: -87 = 102 + 3x + -30x Combine like terms: 3x + -30x = -27x -87 = 102 + -27x Solving -87 = 102 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -87 + 27x = 102 + -27x + 27x Combine like terms: -27x + 27x = 0 -87 + 27x = 102 + 0 -87 + 27x = 102 Add '87' to each side of the equation. -87 + 87 + 27x = 102 + 87 Combine like terms: -87 + 87 = 0 0 + 27x = 102 + 87 27x = 102 + 87 Combine like terms: 102 + 87 = 189 27x = 189 Divide each side by '27'. x = 7 Simplifying x = 7
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