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Simplifying 10x(3x + 2) = 9x + 6x(5x + -4) Reorder the terms: 10x(2 + 3x) = 9x + 6x(5x + -4) (2 * 10x + 3x * 10x) = 9x + 6x(5x + -4) (20x + 30x2) = 9x + 6x(5x + -4) Reorder the terms: 20x + 30x2 = 9x + 6x(-4 + 5x) 20x + 30x2 = 9x + (-4 * 6x + 5x * 6x) 20x + 30x2 = 9x + (-24x + 30x2) Combine like terms: 9x + -24x = -15x 20x + 30x2 = -15x + 30x2 Add '-30x2' to each side of the equation. 20x + 30x2 + -30x2 = -15x + 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 20x + 0 = -15x + 30x2 + -30x2 20x = -15x + 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 20x = -15x + 0 20x = -15x Solving 20x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 20x + 15x = -15x + 15x Combine like terms: 20x + 15x = 35x 35x = -15x + 15x Combine like terms: -15x + 15x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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