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