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Simplifying 3x + 5 + -2x + 2 = 2x + 6 Reorder the terms: 5 + 2 + 3x + -2x = 2x + 6 Combine like terms: 5 + 2 = 7 7 + 3x + -2x = 2x + 6 Combine like terms: 3x + -2x = 1x 7 + 1x = 2x + 6 Reorder the terms: 7 + 1x = 6 + 2x Solving 7 + 1x = 6 + 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. 7 + 1x + -2x = 6 + 2x + -2x Combine like terms: 1x + -2x = -1x 7 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1x = 6 + 0 7 + -1x = 6 Add '-7' to each side of the equation. 7 + -7 + -1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 6 + -7 -1x = 6 + -7 Combine like terms: 6 + -7 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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