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Simplifying (3x + 2) + 2(x + -4) = 7 Reorder the terms: (2 + 3x) + 2(x + -4) = 7 Remove parenthesis around (2 + 3x) 2 + 3x + 2(x + -4) = 7 Reorder the terms: 2 + 3x + 2(-4 + x) = 7 2 + 3x + (-4 * 2 + x * 2) = 7 2 + 3x + (-8 + 2x) = 7 Reorder the terms: 2 + -8 + 3x + 2x = 7 Combine like terms: 2 + -8 = -6 -6 + 3x + 2x = 7 Combine like terms: 3x + 2x = 5x -6 + 5x = 7 Solving -6 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 7 + 6 5x = 7 + 6 Combine like terms: 7 + 6 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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