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Simplifying 6x + 40 = 15x + -32 Reorder the terms: 40 + 6x = 15x + -32 Reorder the terms: 40 + 6x = -32 + 15x Solving 40 + 6x = -32 + 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. 40 + 6x + -15x = -32 + 15x + -15x Combine like terms: 6x + -15x = -9x 40 + -9x = -32 + 15x + -15x Combine like terms: 15x + -15x = 0 40 + -9x = -32 + 0 40 + -9x = -32 Add '-40' to each side of the equation. 40 + -40 + -9x = -32 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = -32 + -40 -9x = -32 + -40 Combine like terms: -32 + -40 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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