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Simplifying 3x + 5 + -2x = 7 + 2x + -6 Reorder the terms: 5 + 3x + -2x = 7 + 2x + -6 Combine like terms: 3x + -2x = 1x 5 + 1x = 7 + 2x + -6 Reorder the terms: 5 + 1x = 7 + -6 + 2x Combine like terms: 7 + -6 = 1 5 + 1x = 1 + 2x Solving 5 + 1x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 1x + -2x = 1 + 2x + -2x Combine like terms: 1x + -2x = -1x 5 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1x = 1 + 0 5 + -1x = 1 Add '-5' to each side of the equation. 5 + -5 + -1x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 1 + -5 -1x = 1 + -5 Combine like terms: 1 + -5 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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