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Simplifying 5x(6) = 8x + 9 + 1x + 17 + 1x + 14 Reorder the terms for easier multiplication: 5 * 6x = 8x + 9 + 1x + 17 + 1x + 14 Multiply 5 * 6 30x = 8x + 9 + 1x + 17 + 1x + 14 Reorder the terms: 30x = 9 + 17 + 14 + 8x + 1x + 1x Combine like terms: 9 + 17 = 26 30x = 26 + 14 + 8x + 1x + 1x Combine like terms: 26 + 14 = 40 30x = 40 + 8x + 1x + 1x Combine like terms: 8x + 1x = 9x 30x = 40 + 9x + 1x Combine like terms: 9x + 1x = 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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