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Simplifying 5(x + 4) + -8(2x + -4) = 2 Reorder the terms: 5(4 + x) + -8(2x + -4) = 2 (4 * 5 + x * 5) + -8(2x + -4) = 2 (20 + 5x) + -8(2x + -4) = 2 Reorder the terms: 20 + 5x + -8(-4 + 2x) = 2 20 + 5x + (-4 * -8 + 2x * -8) = 2 20 + 5x + (32 + -16x) = 2 Reorder the terms: 20 + 32 + 5x + -16x = 2 Combine like terms: 20 + 32 = 52 52 + 5x + -16x = 2 Combine like terms: 5x + -16x = -11x 52 + -11x = 2 Solving 52 + -11x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -11x = 2 + -52 Combine like terms: 52 + -52 = 0 0 + -11x = 2 + -52 -11x = 2 + -52 Combine like terms: 2 + -52 = -50 -11x = -50 Divide each side by '-11'. x = 4.545454545 Simplifying x = 4.545454545
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