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Simplifying 5(x + -2) + -8(x + -4) = 20 Reorder the terms: 5(-2 + x) + -8(x + -4) = 20 (-2 * 5 + x * 5) + -8(x + -4) = 20 (-10 + 5x) + -8(x + -4) = 20 Reorder the terms: -10 + 5x + -8(-4 + x) = 20 -10 + 5x + (-4 * -8 + x * -8) = 20 -10 + 5x + (32 + -8x) = 20 Reorder the terms: -10 + 32 + 5x + -8x = 20 Combine like terms: -10 + 32 = 22 22 + 5x + -8x = 20 Combine like terms: 5x + -8x = -3x 22 + -3x = 20 Solving 22 + -3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = 20 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 20 + -22 -3x = 20 + -22 Combine like terms: 20 + -22 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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