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Simplifying 10x + 15 + -1x = 150 + -9x + -27 Reorder the terms: 15 + 10x + -1x = 150 + -9x + -27 Combine like terms: 10x + -1x = 9x 15 + 9x = 150 + -9x + -27 Reorder the terms: 15 + 9x = 150 + -27 + -9x Combine like terms: 150 + -27 = 123 15 + 9x = 123 + -9x Solving 15 + 9x = 123 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 15 + 9x + 9x = 123 + -9x + 9x Combine like terms: 9x + 9x = 18x 15 + 18x = 123 + -9x + 9x Combine like terms: -9x + 9x = 0 15 + 18x = 123 + 0 15 + 18x = 123 Add '-15' to each side of the equation. 15 + -15 + 18x = 123 + -15 Combine like terms: 15 + -15 = 0 0 + 18x = 123 + -15 18x = 123 + -15 Combine like terms: 123 + -15 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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