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Simplifying 5(x + -4) = 4(2x + 1) + -4 Reorder the terms: 5(-4 + x) = 4(2x + 1) + -4 (-4 * 5 + x * 5) = 4(2x + 1) + -4 (-20 + 5x) = 4(2x + 1) + -4 Reorder the terms: -20 + 5x = 4(1 + 2x) + -4 -20 + 5x = (1 * 4 + 2x * 4) + -4 -20 + 5x = (4 + 8x) + -4 Reorder the terms: -20 + 5x = 4 + -4 + 8x Combine like terms: 4 + -4 = 0 -20 + 5x = 0 + 8x -20 + 5x = 8x Solving -20 + 5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x -20 + -3x = 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -3x = 0 Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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