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