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Simplifying x + 14 + 3x + 7 = 5x + 6 Reorder the terms: 14 + 7 + x + 3x = 5x + 6 Combine like terms: 14 + 7 = 21 21 + x + 3x = 5x + 6 Combine like terms: x + 3x = 4x 21 + 4x = 5x + 6 Reorder the terms: 21 + 4x = 6 + 5x Solving 21 + 4x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 4x + -5x = 6 + 5x + -5x Combine like terms: 4x + -5x = -1x 21 + -1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -1x = 6 + 0 21 + -1x = 6 Add '-21' to each side of the equation. 21 + -21 + -1x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 6 + -21 -1x = 6 + -21 Combine like terms: 6 + -21 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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