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Simplifying 6x + 39 = 15x + -42 Reorder the terms: 39 + 6x = 15x + -42 Reorder the terms: 39 + 6x = -42 + 15x Solving 39 + 6x = -42 + 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. 39 + 6x + -15x = -42 + 15x + -15x Combine like terms: 6x + -15x = -9x 39 + -9x = -42 + 15x + -15x Combine like terms: 15x + -15x = 0 39 + -9x = -42 + 0 39 + -9x = -42 Add '-39' to each side of the equation. 39 + -39 + -9x = -42 + -39 Combine like terms: 39 + -39 = 0 0 + -9x = -42 + -39 -9x = -42 + -39 Combine like terms: -42 + -39 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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