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Simplifying x * 5 + 217 = x * 15 + -13 Reorder the terms for easier multiplication: 5x + 217 = x * 15 + -13 Reorder the terms: 217 + 5x = x * 15 + -13 Reorder the terms for easier multiplication: 217 + 5x = 15x + -13 Reorder the terms: 217 + 5x = -13 + 15x Solving 217 + 5x = -13 + 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. 217 + 5x + -15x = -13 + 15x + -15x Combine like terms: 5x + -15x = -10x 217 + -10x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 217 + -10x = -13 + 0 217 + -10x = -13 Add '-217' to each side of the equation. 217 + -217 + -10x = -13 + -217 Combine like terms: 217 + -217 = 0 0 + -10x = -13 + -217 -10x = -13 + -217 Combine like terms: -13 + -217 = -230 -10x = -230 Divide each side by '-10'. x = 23 Simplifying x = 23
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