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Simplifying 3x + 5 + -2x = x + -2 + 7x Reorder the terms: 5 + 3x + -2x = x + -2 + 7x Combine like terms: 3x + -2x = 1x 5 + 1x = x + -2 + 7x Reorder the terms: 5 + 1x = -2 + x + 7x Combine like terms: x + 7x = 8x 5 + 1x = -2 + 8x Solving 5 + 1x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 1x + -8x = -2 + 8x + -8x Combine like terms: 1x + -8x = -7x 5 + -7x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -7x = -2 + 0 5 + -7x = -2 Add '-5' to each side of the equation. 5 + -5 + -7x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -2 + -5 -7x = -2 + -5 Combine like terms: -2 + -5 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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