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Simplifying 3x + 7 = 2(2x + 3) + 1 Reorder the terms: 7 + 3x = 2(2x + 3) + 1 Reorder the terms: 7 + 3x = 2(3 + 2x) + 1 7 + 3x = (3 * 2 + 2x * 2) + 1 7 + 3x = (6 + 4x) + 1 Reorder the terms: 7 + 3x = 6 + 1 + 4x Combine like terms: 6 + 1 = 7 7 + 3x = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + 3x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + 3x = 7 + -7 + 4x 3x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 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. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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