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Simplifying 18x + -1x + 5 = 10x + 5x + -10 Reorder the terms: 5 + 18x + -1x = 10x + 5x + -10 Combine like terms: 18x + -1x = 17x 5 + 17x = 10x + 5x + -10 Reorder the terms: 5 + 17x = -10 + 10x + 5x Combine like terms: 10x + 5x = 15x 5 + 17x = -10 + 15x Solving 5 + 17x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 17x + -15x = -10 + 15x + -15x Combine like terms: 17x + -15x = 2x 5 + 2x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + 2x = -10 + 0 5 + 2x = -10 Add '-5' to each side of the equation. 5 + -5 + 2x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -10 + -5 2x = -10 + -5 Combine like terms: -10 + -5 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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