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Simplifying 5(x + 6) = x + 14 + x + 17 + 8x + 9 Reorder the terms: 5(6 + x) = x + 14 + x + 17 + 8x + 9 (6 * 5 + x * 5) = x + 14 + x + 17 + 8x + 9 (30 + 5x) = x + 14 + x + 17 + 8x + 9 Reorder the terms: 30 + 5x = 14 + 17 + 9 + x + x + 8x Combine like terms: 14 + 17 = 31 30 + 5x = 31 + 9 + x + x + 8x Combine like terms: 31 + 9 = 40 30 + 5x = 40 + x + x + 8x Combine like terms: x + x = 2x 30 + 5x = 40 + 2x + 8x Combine like terms: 2x + 8x = 10x 30 + 5x = 40 + 10x Solving 30 + 5x = 40 + 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. 30 + 5x + -10x = 40 + 10x + -10x Combine like terms: 5x + -10x = -5x 30 + -5x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -5x = 40 + 0 30 + -5x = 40 Add '-30' to each side of the equation. 30 + -30 + -5x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 40 + -30 -5x = 40 + -30 Combine like terms: 40 + -30 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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