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Simplifying 5(x + -4) = -4 + 9(x + -1) Reorder the terms: 5(-4 + x) = -4 + 9(x + -1) (-4 * 5 + x * 5) = -4 + 9(x + -1) (-20 + 5x) = -4 + 9(x + -1) Reorder the terms: -20 + 5x = -4 + 9(-1 + x) -20 + 5x = -4 + (-1 * 9 + x * 9) -20 + 5x = -4 + (-9 + 9x) Combine like terms: -4 + -9 = -13 -20 + 5x = -13 + 9x Solving -20 + 5x = -13 + 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 = -13 + 9x + -9x Combine like terms: 5x + -9x = -4x -20 + -4x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -4x = -13 + 0 -20 + -4x = -13 Add '20' to each side of the equation. -20 + 20 + -4x = -13 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -13 + 20 -4x = -13 + 20 Combine like terms: -13 + 20 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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