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Simplifying 2x + 3 + 5x + -1x + 2 = 5x + -7 Reorder the terms: 3 + 2 + 2x + 5x + -1x = 5x + -7 Combine like terms: 3 + 2 = 5 5 + 2x + 5x + -1x = 5x + -7 Combine like terms: 2x + 5x = 7x 5 + 7x + -1x = 5x + -7 Combine like terms: 7x + -1x = 6x 5 + 6x = 5x + -7 Reorder the terms: 5 + 6x = -7 + 5x Solving 5 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x 5 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 1x = -7 + 0 5 + 1x = -7 Add '-5' to each side of the equation. 5 + -5 + 1x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -7 + -5 1x = -7 + -5 Combine like terms: -7 + -5 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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