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Simplifying 3x + x + 4 = x + 7 + 2x + 11 Reorder the terms: 4 + 3x + x = x + 7 + 2x + 11 Combine like terms: 3x + x = 4x 4 + 4x = x + 7 + 2x + 11 Reorder the terms: 4 + 4x = 7 + 11 + x + 2x Combine like terms: 7 + 11 = 18 4 + 4x = 18 + x + 2x Combine like terms: x + 2x = 3x 4 + 4x = 18 + 3x Solving 4 + 4x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 4x + -3x = 18 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 18 + 0 4 + 1x = 18 Add '-4' to each side of the equation. 4 + -4 + 1x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 18 + -4 1x = 18 + -4 Combine like terms: 18 + -4 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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