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Simplifying 6x + 37 = 15x + -71 Reorder the terms: 37 + 6x = 15x + -71 Reorder the terms: 37 + 6x = -71 + 15x Solving 37 + 6x = -71 + 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. 37 + 6x + -15x = -71 + 15x + -15x Combine like terms: 6x + -15x = -9x 37 + -9x = -71 + 15x + -15x Combine like terms: 15x + -15x = 0 37 + -9x = -71 + 0 37 + -9x = -71 Add '-37' to each side of the equation. 37 + -37 + -9x = -71 + -37 Combine like terms: 37 + -37 = 0 0 + -9x = -71 + -37 -9x = -71 + -37 Combine like terms: -71 + -37 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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