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Simplifying 5(x + -4) = -3(x + 2) + 33 Reorder the terms: 5(-4 + x) = -3(x + 2) + 33 (-4 * 5 + x * 5) = -3(x + 2) + 33 (-20 + 5x) = -3(x + 2) + 33 Reorder the terms: -20 + 5x = -3(2 + x) + 33 -20 + 5x = (2 * -3 + x * -3) + 33 -20 + 5x = (-6 + -3x) + 33 Reorder the terms: -20 + 5x = -6 + 33 + -3x Combine like terms: -6 + 33 = 27 -20 + 5x = 27 + -3x Solving -20 + 5x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 5x + 3x = 27 + -3x + 3x Combine like terms: 5x + 3x = 8x -20 + 8x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 8x = 27 + 0 -20 + 8x = 27 Add '20' to each side of the equation. -20 + 20 + 8x = 27 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 27 + 20 8x = 27 + 20 Combine like terms: 27 + 20 = 47 8x = 47 Divide each side by '8'. x = 5.875 Simplifying x = 5.875
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