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Simplifying x(2 + -5x) = 12 + -6x + -5x2 (2 * x + -5x * x) = 12 + -6x + -5x2 (2x + -5x2) = 12 + -6x + -5x2 Add '5x2' to each side of the equation. 2x + -5x2 + 5x2 = 12 + -6x + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 2x + 0 = 12 + -6x + -5x2 + 5x2 2x = 12 + -6x + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 2x = 12 + -6x + 0 2x = 12 + -6x Solving 2x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2x + 6x = 12 + -6x + 6x Combine like terms: 2x + 6x = 8x 8x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 8x = 12 + 0 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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