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Simplifying 32 + 7x + -2 = 2x + -6 + -1x Reorder the terms: 32 + -2 + 7x = 2x + -6 + -1x Combine like terms: 32 + -2 = 30 30 + 7x = 2x + -6 + -1x Reorder the terms: 30 + 7x = -6 + 2x + -1x Combine like terms: 2x + -1x = 1x 30 + 7x = -6 + 1x Solving 30 + 7x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 7x + -1x = -6 + 1x + -1x Combine like terms: 7x + -1x = 6x 30 + 6x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 30 + 6x = -6 + 0 30 + 6x = -6 Add '-30' to each side of the equation. 30 + -30 + 6x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -6 + -30 6x = -6 + -30 Combine like terms: -6 + -30 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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