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Simplifying 3x + 2(x + 7) = 4(x + 3) Reorder the terms: 3x + 2(7 + x) = 4(x + 3) 3x + (7 * 2 + x * 2) = 4(x + 3) 3x + (14 + 2x) = 4(x + 3) Reorder the terms: 14 + 3x + 2x = 4(x + 3) Combine like terms: 3x + 2x = 5x 14 + 5x = 4(x + 3) Reorder the terms: 14 + 5x = 4(3 + x) 14 + 5x = (3 * 4 + x * 4) 14 + 5x = (12 + 4x) Solving 14 + 5x = 12 + 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. 14 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x 14 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 1x = 12 + 0 14 + 1x = 12 Add '-14' to each side of the equation. 14 + -14 + 1x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 12 + -14 1x = 12 + -14 Combine like terms: 12 + -14 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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