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Simplifying 6x + 29 = 15x + -52 Reorder the terms: 29 + 6x = 15x + -52 Reorder the terms: 29 + 6x = -52 + 15x Solving 29 + 6x = -52 + 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. 29 + 6x + -15x = -52 + 15x + -15x Combine like terms: 6x + -15x = -9x 29 + -9x = -52 + 15x + -15x Combine like terms: 15x + -15x = 0 29 + -9x = -52 + 0 29 + -9x = -52 Add '-29' to each side of the equation. 29 + -29 + -9x = -52 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = -52 + -29 -9x = -52 + -29 Combine like terms: -52 + -29 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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