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Simplifying 5x + -6x + 27 = 18x + -42 + 9x Reorder the terms: 27 + 5x + -6x = 18x + -42 + 9x Combine like terms: 5x + -6x = -1x 27 + -1x = 18x + -42 + 9x Reorder the terms: 27 + -1x = -42 + 18x + 9x Combine like terms: 18x + 9x = 27x 27 + -1x = -42 + 27x Solving 27 + -1x = -42 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 27 + -1x + -27x = -42 + 27x + -27x Combine like terms: -1x + -27x = -28x 27 + -28x = -42 + 27x + -27x Combine like terms: 27x + -27x = 0 27 + -28x = -42 + 0 27 + -28x = -42 Add '-27' to each side of the equation. 27 + -27 + -28x = -42 + -27 Combine like terms: 27 + -27 = 0 0 + -28x = -42 + -27 -28x = -42 + -27 Combine like terms: -42 + -27 = -69 -28x = -69 Divide each side by '-28'. x = 2.464285714 Simplifying x = 2.464285714
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