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Simplifying 2(2x + -4) + -4(-5 + 8x) = 40 Reorder the terms: 2(-4 + 2x) + -4(-5 + 8x) = 40 (-4 * 2 + 2x * 2) + -4(-5 + 8x) = 40 (-8 + 4x) + -4(-5 + 8x) = 40 -8 + 4x + (-5 * -4 + 8x * -4) = 40 -8 + 4x + (20 + -32x) = 40 Reorder the terms: -8 + 20 + 4x + -32x = 40 Combine like terms: -8 + 20 = 12 12 + 4x + -32x = 40 Combine like terms: 4x + -32x = -28x 12 + -28x = 40 Solving 12 + -28x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -28x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -28x = 40 + -12 -28x = 40 + -12 Combine like terms: 40 + -12 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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