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Simplifying 2(3x + -4) + 5(8 + -2x) = 12 Reorder the terms: 2(-4 + 3x) + 5(8 + -2x) = 12 (-4 * 2 + 3x * 2) + 5(8 + -2x) = 12 (-8 + 6x) + 5(8 + -2x) = 12 -8 + 6x + (8 * 5 + -2x * 5) = 12 -8 + 6x + (40 + -10x) = 12 Reorder the terms: -8 + 40 + 6x + -10x = 12 Combine like terms: -8 + 40 = 32 32 + 6x + -10x = 12 Combine like terms: 6x + -10x = -4x 32 + -4x = 12 Solving 32 + -4x = 12 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 + -4x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 12 + -32 -4x = 12 + -32 Combine like terms: 12 + -32 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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