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Simplifying 5(-3x + 9) = (9x + 5) Reorder the terms: 5(9 + -3x) = (9x + 5) (9 * 5 + -3x * 5) = (9x + 5) (45 + -15x) = (9x + 5) Reorder the terms: 45 + -15x = (5 + 9x) Remove parenthesis around (5 + 9x) 45 + -15x = 5 + 9x Solving 45 + -15x = 5 + 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. 45 + -15x + -9x = 5 + 9x + -9x Combine like terms: -15x + -9x = -24x 45 + -24x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -24x = 5 + 0 45 + -24x = 5 Add '-45' to each side of the equation. 45 + -45 + -24x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -24x = 5 + -45 -24x = 5 + -45 Combine like terms: 5 + -45 = -40 -24x = -40 Divide each side by '-24'. x = 1.666666667 Simplifying x = 1.666666667
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