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Simplifying 3(2x + 4) + -4(4x + -5) = 2 Reorder the terms: 3(4 + 2x) + -4(4x + -5) = 2 (4 * 3 + 2x * 3) + -4(4x + -5) = 2 (12 + 6x) + -4(4x + -5) = 2 Reorder the terms: 12 + 6x + -4(-5 + 4x) = 2 12 + 6x + (-5 * -4 + 4x * -4) = 2 12 + 6x + (20 + -16x) = 2 Reorder the terms: 12 + 20 + 6x + -16x = 2 Combine like terms: 12 + 20 = 32 32 + 6x + -16x = 2 Combine like terms: 6x + -16x = -10x 32 + -10x = 2 Solving 32 + -10x = 2 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 + -10x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = 2 + -32 -10x = 2 + -32 Combine like terms: 2 + -32 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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