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Simplifying 7x + 32 = 13x + -12 Reorder the terms: 32 + 7x = 13x + -12 Reorder the terms: 32 + 7x = -12 + 13x Solving 32 + 7x = -12 + 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. 32 + 7x + -13x = -12 + 13x + -13x Combine like terms: 7x + -13x = -6x 32 + -6x = -12 + 13x + -13x Combine like terms: 13x + -13x = 0 32 + -6x = -12 + 0 32 + -6x = -12 Add '-32' to each side of the equation. 32 + -32 + -6x = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = -12 + -32 -6x = -12 + -32 Combine like terms: -12 + -32 = -44 -6x = -44 Divide each side by '-6'. x = 7.333333333 Simplifying x = 7.333333333
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