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Simplifying (3x + 2) + -1(x + 4) = 7 Reorder the terms: (2 + 3x) + -1(x + 4) = 7 Remove parenthesis around (2 + 3x) 2 + 3x + -1(x + 4) = 7 Reorder the terms: 2 + 3x + -1(4 + x) = 7 2 + 3x + (4 * -1 + x * -1) = 7 2 + 3x + (-4 + -1x) = 7 Reorder the terms: 2 + -4 + 3x + -1x = 7 Combine like terms: 2 + -4 = -2 -2 + 3x + -1x = 7 Combine like terms: 3x + -1x = 2x -2 + 2x = 7 Solving -2 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 7 + 2 2x = 7 + 2 Combine like terms: 7 + 2 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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