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Simplifying 2(3x + 4) + 6(x + -8) = 32 Reorder the terms: 2(4 + 3x) + 6(x + -8) = 32 (4 * 2 + 3x * 2) + 6(x + -8) = 32 (8 + 6x) + 6(x + -8) = 32 Reorder the terms: 8 + 6x + 6(-8 + x) = 32 8 + 6x + (-8 * 6 + x * 6) = 32 8 + 6x + (-48 + 6x) = 32 Reorder the terms: 8 + -48 + 6x + 6x = 32 Combine like terms: 8 + -48 = -40 -40 + 6x + 6x = 32 Combine like terms: 6x + 6x = 12x -40 + 12x = 32 Solving -40 + 12x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 12x = 32 + 40 12x = 32 + 40 Combine like terms: 32 + 40 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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