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