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Simplifying 3x + 4 = 2(x + 2) + 1 Reorder the terms: 4 + 3x = 2(x + 2) + 1 Reorder the terms: 4 + 3x = 2(2 + x) + 1 4 + 3x = (2 * 2 + x * 2) + 1 4 + 3x = (4 + 2x) + 1 Reorder the terms: 4 + 3x = 4 + 1 + 2x Combine like terms: 4 + 1 = 5 4 + 3x = 5 + 2x Solving 4 + 3x = 5 + 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. 4 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 5 + 0 4 + 1x = 5 Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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