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Simplifying 2x + 14 + 12x + 15 = 4x + 49 Reorder the terms: 14 + 15 + 2x + 12x = 4x + 49 Combine like terms: 14 + 15 = 29 29 + 2x + 12x = 4x + 49 Combine like terms: 2x + 12x = 14x 29 + 14x = 4x + 49 Reorder the terms: 29 + 14x = 49 + 4x Solving 29 + 14x = 49 + 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. 29 + 14x + -4x = 49 + 4x + -4x Combine like terms: 14x + -4x = 10x 29 + 10x = 49 + 4x + -4x Combine like terms: 4x + -4x = 0 29 + 10x = 49 + 0 29 + 10x = 49 Add '-29' to each side of the equation. 29 + -29 + 10x = 49 + -29 Combine like terms: 29 + -29 = 0 0 + 10x = 49 + -29 10x = 49 + -29 Combine like terms: 49 + -29 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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