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Simplifying 10x + -5x + 155 = 10x + 100 Reorder the terms: 155 + 10x + -5x = 10x + 100 Combine like terms: 10x + -5x = 5x 155 + 5x = 10x + 100 Reorder the terms: 155 + 5x = 100 + 10x Solving 155 + 5x = 100 + 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. 155 + 5x + -10x = 100 + 10x + -10x Combine like terms: 5x + -10x = -5x 155 + -5x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 155 + -5x = 100 + 0 155 + -5x = 100 Add '-155' to each side of the equation. 155 + -155 + -5x = 100 + -155 Combine like terms: 155 + -155 = 0 0 + -5x = 100 + -155 -5x = 100 + -155 Combine like terms: 100 + -155 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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