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Simplifying 15x + 101 = 10x + 56 Reorder the terms: 101 + 15x = 10x + 56 Reorder the terms: 101 + 15x = 56 + 10x Solving 101 + 15x = 56 + 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. 101 + 15x + -10x = 56 + 10x + -10x Combine like terms: 15x + -10x = 5x 101 + 5x = 56 + 10x + -10x Combine like terms: 10x + -10x = 0 101 + 5x = 56 + 0 101 + 5x = 56 Add '-101' to each side of the equation. 101 + -101 + 5x = 56 + -101 Combine like terms: 101 + -101 = 0 0 + 5x = 56 + -101 5x = 56 + -101 Combine like terms: 56 + -101 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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