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Simplifying 6(x + 17) + -5(x + 3) = 8 Reorder the terms: 6(17 + x) + -5(x + 3) = 8 (17 * 6 + x * 6) + -5(x + 3) = 8 (102 + 6x) + -5(x + 3) = 8 Reorder the terms: 102 + 6x + -5(3 + x) = 8 102 + 6x + (3 * -5 + x * -5) = 8 102 + 6x + (-15 + -5x) = 8 Reorder the terms: 102 + -15 + 6x + -5x = 8 Combine like terms: 102 + -15 = 87 87 + 6x + -5x = 8 Combine like terms: 6x + -5x = 1x 87 + 1x = 8 Solving 87 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + 1x = 8 + -87 Combine like terms: 87 + -87 = 0 0 + 1x = 8 + -87 1x = 8 + -87 Combine like terms: 8 + -87 = -79 1x = -79 Divide each side by '1'. x = -79 Simplifying x = -79
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