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Simplifying 6x + 38 = 15x + -52 Reorder the terms: 38 + 6x = 15x + -52 Reorder the terms: 38 + 6x = -52 + 15x Solving 38 + 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. 38 + 6x + -15x = -52 + 15x + -15x Combine like terms: 6x + -15x = -9x 38 + -9x = -52 + 15x + -15x Combine like terms: 15x + -15x = 0 38 + -9x = -52 + 0 38 + -9x = -52 Add '-38' to each side of the equation. 38 + -38 + -9x = -52 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = -52 + -38 -9x = -52 + -38 Combine like terms: -52 + -38 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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