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Simplifying 9x + 2 = 15x + -52 Reorder the terms: 2 + 9x = 15x + -52 Reorder the terms: 2 + 9x = -52 + 15x Solving 2 + 9x = -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. 2 + 9x + -15x = -52 + 15x + -15x Combine like terms: 9x + -15x = -6x 2 + -6x = -52 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -6x = -52 + 0 2 + -6x = -52 Add '-2' to each side of the equation. 2 + -2 + -6x = -52 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -52 + -2 -6x = -52 + -2 Combine like terms: -52 + -2 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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