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