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Simplifying (3x + 2) + (x + -4) = 19 + x Reorder the terms: (2 + 3x) + (x + -4) = 19 + x Remove parenthesis around (2 + 3x) 2 + 3x + (x + -4) = 19 + x Reorder the terms: 2 + 3x + (-4 + x) = 19 + x Remove parenthesis around (-4 + x) 2 + 3x + -4 + x = 19 + x Reorder the terms: 2 + -4 + 3x + x = 19 + x Combine like terms: 2 + -4 = -2 -2 + 3x + x = 19 + x Combine like terms: 3x + x = 4x -2 + 4x = 19 + x Solving -2 + 4x = 19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 4x + -1x = 19 + x + -1x Combine like terms: 4x + -1x = 3x -2 + 3x = 19 + x + -1x Combine like terms: x + -1x = 0 -2 + 3x = 19 + 0 -2 + 3x = 19 Add '2' to each side of the equation. -2 + 2 + 3x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 19 + 2 3x = 19 + 2 Combine like terms: 19 + 2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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