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Simplifying 3x + 7 + -2x = x(1 + -2) + 7 Reorder the terms: 7 + 3x + -2x = x(1 + -2) + 7 Combine like terms: 3x + -2x = 1x 7 + 1x = x(1 + -2) + 7 Combine like terms: 1 + -2 = -1 7 + 1x = x(-1) + 7 Reorder the terms for easier multiplication: 7 + 1x = -1x + 7 Reorder the terms: 7 + 1x = 7 + -1x Add '-7' to each side of the equation. 7 + -7 + 1x = 7 + -7 + -1x Combine like terms: 7 + -7 = 0 0 + 1x = 7 + -7 + -1x 1x = 7 + -7 + -1x Combine like terms: 7 + -7 = 0 1x = 0 + -1x 1x = -1x Solving 1x = -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. 1x + x = -1x + x Combine like terms: 1x + x = 2x 2x = -1x + x Combine like terms: -1x + x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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