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Simplifying x + 15 = 6(10 + x) Reorder the terms: 15 + x = 6(10 + x) 15 + x = (10 * 6 + x * 6) 15 + x = (60 + 6x) Solving 15 + x = 60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + x + -6x = 60 + 6x + -6x Combine like terms: x + -6x = -5x 15 + -5x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -5x = 60 + 0 15 + -5x = 60 Add '-15' to each side of the equation. 15 + -15 + -5x = 60 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 60 + -15 -5x = 60 + -15 Combine like terms: 60 + -15 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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