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Simplifying 6x + 2 + -2x = 10 + 3x + -7 Reorder the terms: 2 + 6x + -2x = 10 + 3x + -7 Combine like terms: 6x + -2x = 4x 2 + 4x = 10 + 3x + -7 Reorder the terms: 2 + 4x = 10 + -7 + 3x Combine like terms: 10 + -7 = 3 2 + 4x = 3 + 3x Solving 2 + 4x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = 3 + 0 2 + 1x = 3 Add '-2' to each side of the equation. 2 + -2 + 1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 3 + -2 1x = 3 + -2 Combine like terms: 3 + -2 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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