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Simplifying 3x + -1(19 + -4x) + 14 = 7x + -1(2x + -7) 3x + (19 * -1 + -4x * -1) + 14 = 7x + -1(2x + -7) 3x + (-19 + 4x) + 14 = 7x + -1(2x + -7) Reorder the terms: -19 + 14 + 3x + 4x = 7x + -1(2x + -7) Combine like terms: -19 + 14 = -5 -5 + 3x + 4x = 7x + -1(2x + -7) Combine like terms: 3x + 4x = 7x -5 + 7x = 7x + -1(2x + -7) Reorder the terms: -5 + 7x = 7x + -1(-7 + 2x) -5 + 7x = 7x + (-7 * -1 + 2x * -1) -5 + 7x = 7x + (7 + -2x) Reorder the terms: -5 + 7x = 7 + 7x + -2x Combine like terms: 7x + -2x = 5x -5 + 7x = 7 + 5x Solving -5 + 7x = 7 + 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. -5 + 7x + -5x = 7 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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