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Simplifying 9(2x + -5) = -1(x + 4) Reorder the terms: 9(-5 + 2x) = -1(x + 4) (-5 * 9 + 2x * 9) = -1(x + 4) (-45 + 18x) = -1(x + 4) Reorder the terms: -45 + 18x = -1(4 + x) -45 + 18x = (4 * -1 + x * -1) -45 + 18x = (-4 + -1x) Solving -45 + 18x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + 18x + x = -4 + -1x + x Combine like terms: 18x + x = 19x -45 + 19x = -4 + -1x + x Combine like terms: -1x + x = 0 -45 + 19x = -4 + 0 -45 + 19x = -4 Add '45' to each side of the equation. -45 + 45 + 19x = -4 + 45 Combine like terms: -45 + 45 = 0 0 + 19x = -4 + 45 19x = -4 + 45 Combine like terms: -4 + 45 = 41 19x = 41 Divide each side by '19'. x = 2.157894737 Simplifying x = 2.157894737
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