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Simplifying 5(8x + -5) + -8(x + -4) = 39 Reorder the terms: 5(-5 + 8x) + -8(x + -4) = 39 (-5 * 5 + 8x * 5) + -8(x + -4) = 39 (-25 + 40x) + -8(x + -4) = 39 Reorder the terms: -25 + 40x + -8(-4 + x) = 39 -25 + 40x + (-4 * -8 + x * -8) = 39 -25 + 40x + (32 + -8x) = 39 Reorder the terms: -25 + 32 + 40x + -8x = 39 Combine like terms: -25 + 32 = 7 7 + 40x + -8x = 39 Combine like terms: 40x + -8x = 32x 7 + 32x = 39 Solving 7 + 32x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 32x = 39 + -7 Combine like terms: 7 + -7 = 0 0 + 32x = 39 + -7 32x = 39 + -7 Combine like terms: 39 + -7 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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