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Simplifying 5(9 + -1x) = 4(2x + -5) (9 * 5 + -1x * 5) = 4(2x + -5) (45 + -5x) = 4(2x + -5) Reorder the terms: 45 + -5x = 4(-5 + 2x) 45 + -5x = (-5 * 4 + 2x * 4) 45 + -5x = (-20 + 8x) Solving 45 + -5x = -20 + 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. 45 + -5x + -8x = -20 + 8x + -8x Combine like terms: -5x + -8x = -13x 45 + -13x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -13x = -20 + 0 45 + -13x = -20 Add '-45' to each side of the equation. 45 + -45 + -13x = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -13x = -20 + -45 -13x = -20 + -45 Combine like terms: -20 + -45 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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