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Simplifying 9 + -3x(2x + -5) = 6x(3 + -1x) Reorder the terms: 9 + -3x(-5 + 2x) = 6x(3 + -1x) 9 + (-5 * -3x + 2x * -3x) = 6x(3 + -1x) 9 + (15x + -6x2) = 6x(3 + -1x) 9 + 15x + -6x2 = (3 * 6x + -1x * 6x) 9 + 15x + -6x2 = (18x + -6x2) Add '6x2' to each side of the equation. 9 + 15x + -6x2 + 6x2 = 18x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 9 + 15x + 0 = 18x + -6x2 + 6x2 9 + 15x = 18x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 9 + 15x = 18x + 0 9 + 15x = 18x Solving 9 + 15x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 9 + 15x + -18x = 18x + -18x Combine like terms: 15x + -18x = -3x 9 + -3x = 18x + -18x Combine like terms: 18x + -18x = 0 9 + -3x = 0 Add '-9' to each side of the equation. 9 + -9 + -3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 0 + -9 -3x = 0 + -9 Combine like terms: 0 + -9 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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