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Simplifying 5x * 6 = x + 14 + x + 17 + 8x + 9 Reorder the terms for easier multiplication: 5 * 6x = x + 14 + x + 17 + 8x + 9 Multiply 5 * 6 30x = x + 14 + x + 17 + 8x + 9 Reorder the terms: 30x = 14 + 17 + 9 + x + x + 8x Combine like terms: 14 + 17 = 31 30x = 31 + 9 + x + x + 8x Combine like terms: 31 + 9 = 40 30x = 40 + x + x + 8x Combine like terms: x + x = 2x 30x = 40 + 2x + 8x Combine like terms: 2x + 8x = 10x 30x = 40 + 10x Solving 30x = 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. 30x + -10x = 40 + 10x + -10x Combine like terms: 30x + -10x = 20x 20x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 20x = 40 + 0 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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