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Simplifying 5(9 + -1x) = 4(x + 6) (9 * 5 + -1x * 5) = 4(x + 6) (45 + -5x) = 4(x + 6) Reorder the terms: 45 + -5x = 4(6 + x) 45 + -5x = (6 * 4 + x * 4) 45 + -5x = (24 + 4x) Solving 45 + -5x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + -5x + -4x = 24 + 4x + -4x Combine like terms: -5x + -4x = -9x 45 + -9x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -9x = 24 + 0 45 + -9x = 24 Add '-45' to each side of the equation. 45 + -45 + -9x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 24 + -45 -9x = 24 + -45 Combine like terms: 24 + -45 = -21 -9x = -21 Divide each side by '-9'. x = 2.333333333 Simplifying x = 2.333333333
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