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Simplifying 10x + 30 + -9x + 27 = 8x + 24 Reorder the terms: 30 + 27 + 10x + -9x = 8x + 24 Combine like terms: 30 + 27 = 57 57 + 10x + -9x = 8x + 24 Combine like terms: 10x + -9x = 1x 57 + 1x = 8x + 24 Reorder the terms: 57 + 1x = 24 + 8x Solving 57 + 1x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 57 + 1x + -8x = 24 + 8x + -8x Combine like terms: 1x + -8x = -7x 57 + -7x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 57 + -7x = 24 + 0 57 + -7x = 24 Add '-57' to each side of the equation. 57 + -57 + -7x = 24 + -57 Combine like terms: 57 + -57 = 0 0 + -7x = 24 + -57 -7x = 24 + -57 Combine like terms: 24 + -57 = -33 -7x = -33 Divide each side by '-7'. x = 4.714285714 Simplifying x = 4.714285714
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