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Simplifying (3x + -8) + 2(x + -4) = 48 Reorder the terms: (-8 + 3x) + 2(x + -4) = 48 Remove parenthesis around (-8 + 3x) -8 + 3x + 2(x + -4) = 48 Reorder the terms: -8 + 3x + 2(-4 + x) = 48 -8 + 3x + (-4 * 2 + x * 2) = 48 -8 + 3x + (-8 + 2x) = 48 Reorder the terms: -8 + -8 + 3x + 2x = 48 Combine like terms: -8 + -8 = -16 -16 + 3x + 2x = 48 Combine like terms: 3x + 2x = 5x -16 + 5x = 48 Solving -16 + 5x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5x = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 48 + 16 5x = 48 + 16 Combine like terms: 48 + 16 = 64 5x = 64 Divide each side by '5'. x = 12.8 Simplifying x = 12.8
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