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Simplifying 3x + 14 + (2x + -7) = 7x + (19 + -4x) Reorder the terms: 3x + 14 + (-7 + 2x) = 7x + (19 + -4x) Remove parenthesis around (-7 + 2x) 3x + 14 + -7 + 2x = 7x + (19 + -4x) Reorder the terms: 14 + -7 + 3x + 2x = 7x + (19 + -4x) Combine like terms: 14 + -7 = 7 7 + 3x + 2x = 7x + (19 + -4x) Combine like terms: 3x + 2x = 5x 7 + 5x = 7x + (19 + -4x) Remove parenthesis around (19 + -4x) 7 + 5x = 7x + 19 + -4x Reorder the terms: 7 + 5x = 19 + 7x + -4x Combine like terms: 7x + -4x = 3x 7 + 5x = 19 + 3x Solving 7 + 5x = 19 + 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. 7 + 5x + -3x = 19 + 3x + -3x Combine like terms: 5x + -3x = 2x 7 + 2x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 2x = 19 + 0 7 + 2x = 19 Add '-7' to each side of the equation. 7 + -7 + 2x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 19 + -7 2x = 19 + -7 Combine like terms: 19 + -7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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