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Simplifying 3(x + -8) + 2(x + -4) = 48 Reorder the terms: 3(-8 + x) + 2(x + -4) = 48 (-8 * 3 + x * 3) + 2(x + -4) = 48 (-24 + 3x) + 2(x + -4) = 48 Reorder the terms: -24 + 3x + 2(-4 + x) = 48 -24 + 3x + (-4 * 2 + x * 2) = 48 -24 + 3x + (-8 + 2x) = 48 Reorder the terms: -24 + -8 + 3x + 2x = 48 Combine like terms: -24 + -8 = -32 -32 + 3x + 2x = 48 Combine like terms: 3x + 2x = 5x -32 + 5x = 48 Solving -32 + 5x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 5x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 48 + 32 5x = 48 + 32 Combine like terms: 48 + 32 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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