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Simplifying 5(-4 + 8x) = 4x + -8(-4x + 4) (-4 * 5 + 8x * 5) = 4x + -8(-4x + 4) (-20 + 40x) = 4x + -8(-4x + 4) Reorder the terms: -20 + 40x = 4x + -8(4 + -4x) -20 + 40x = 4x + (4 * -8 + -4x * -8) -20 + 40x = 4x + (-32 + 32x) Reorder the terms: -20 + 40x = -32 + 4x + 32x Combine like terms: 4x + 32x = 36x -20 + 40x = -32 + 36x Solving -20 + 40x = -32 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -20 + 40x + -36x = -32 + 36x + -36x Combine like terms: 40x + -36x = 4x -20 + 4x = -32 + 36x + -36x Combine like terms: 36x + -36x = 0 -20 + 4x = -32 + 0 -20 + 4x = -32 Add '20' to each side of the equation. -20 + 20 + 4x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -32 + 20 4x = -32 + 20 Combine like terms: -32 + 20 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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