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Simplifying 3x + -5(x + 2) + (3x + -4) = 8 Reorder the terms: 3x + -5(2 + x) + (3x + -4) = 8 3x + (2 * -5 + x * -5) + (3x + -4) = 8 3x + (-10 + -5x) + (3x + -4) = 8 Reorder the terms: 3x + -10 + -5x + (-4 + 3x) = 8 Remove parenthesis around (-4 + 3x) 3x + -10 + -5x + -4 + 3x = 8 Reorder the terms: -10 + -4 + 3x + -5x + 3x = 8 Combine like terms: -10 + -4 = -14 -14 + 3x + -5x + 3x = 8 Combine like terms: 3x + -5x = -2x -14 + -2x + 3x = 8 Combine like terms: -2x + 3x = 1x -14 + 1x = 8 Solving -14 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 8 + 14 1x = 8 + 14 Combine like terms: 8 + 14 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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