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Simplifying 3x(1 + -1x) = -2x(3 + x) + -1x2 + 18 (1 * 3x + -1x * 3x) = -2x(3 + x) + -1x2 + 18 (3x + -3x2) = -2x(3 + x) + -1x2 + 18 3x + -3x2 = (3 * -2x + x * -2x) + -1x2 + 18 3x + -3x2 = (-6x + -2x2) + -1x2 + 18 Reorder the terms: 3x + -3x2 = 18 + -6x + -2x2 + -1x2 Combine like terms: -2x2 + -1x2 = -3x2 3x + -3x2 = 18 + -6x + -3x2 Add '3x2' to each side of the equation. 3x + -3x2 + 3x2 = 18 + -6x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 3x + 0 = 18 + -6x + -3x2 + 3x2 3x = 18 + -6x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 3x = 18 + -6x + 0 3x = 18 + -6x Solving 3x = 18 + -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. 3x + 6x = 18 + -6x + 6x Combine like terms: 3x + 6x = 9x 9x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 9x = 18 + 0 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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