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Simplifying 5(x + -4) = 9(x + 1) + 33 Reorder the terms: 5(-4 + x) = 9(x + 1) + 33 (-4 * 5 + x * 5) = 9(x + 1) + 33 (-20 + 5x) = 9(x + 1) + 33 Reorder the terms: -20 + 5x = 9(1 + x) + 33 -20 + 5x = (1 * 9 + x * 9) + 33 -20 + 5x = (9 + 9x) + 33 Reorder the terms: -20 + 5x = 9 + 33 + 9x Combine like terms: 9 + 33 = 42 -20 + 5x = 42 + 9x Solving -20 + 5x = 42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 5x + -9x = 42 + 9x + -9x Combine like terms: 5x + -9x = -4x -20 + -4x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -4x = 42 + 0 -20 + -4x = 42 Add '20' to each side of the equation. -20 + 20 + -4x = 42 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 42 + 20 -4x = 42 + 20 Combine like terms: 42 + 20 = 62 -4x = 62 Divide each side by '-4'. x = -15.5 Simplifying x = -15.5
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