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Simplifying 7x + 40 = 13x + -32 Reorder the terms: 40 + 7x = 13x + -32 Reorder the terms: 40 + 7x = -32 + 13x Solving 40 + 7x = -32 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 40 + 7x + -13x = -32 + 13x + -13x Combine like terms: 7x + -13x = -6x 40 + -6x = -32 + 13x + -13x Combine like terms: 13x + -13x = 0 40 + -6x = -32 + 0 40 + -6x = -32 Add '-40' to each side of the equation. 40 + -40 + -6x = -32 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = -32 + -40 -6x = -32 + -40 Combine like terms: -32 + -40 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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