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Simplifying 2(3x + 3) + -4(5x + -3) = x(x + -3) + -1x(x + 5) Reorder the terms: 2(3 + 3x) + -4(5x + -3) = x(x + -3) + -1x(x + 5) (3 * 2 + 3x * 2) + -4(5x + -3) = x(x + -3) + -1x(x + 5) (6 + 6x) + -4(5x + -3) = x(x + -3) + -1x(x + 5) Reorder the terms: 6 + 6x + -4(-3 + 5x) = x(x + -3) + -1x(x + 5) 6 + 6x + (-3 * -4 + 5x * -4) = x(x + -3) + -1x(x + 5) 6 + 6x + (12 + -20x) = x(x + -3) + -1x(x + 5) Reorder the terms: 6 + 12 + 6x + -20x = x(x + -3) + -1x(x + 5) Combine like terms: 6 + 12 = 18 18 + 6x + -20x = x(x + -3) + -1x(x + 5) Combine like terms: 6x + -20x = -14x 18 + -14x = x(x + -3) + -1x(x + 5) Reorder the terms: 18 + -14x = x(-3 + x) + -1x(x + 5) 18 + -14x = (-3 * x + x * x) + -1x(x + 5) 18 + -14x = (-3x + x2) + -1x(x + 5) Reorder the terms: 18 + -14x = -3x + x2 + -1x(5 + x) 18 + -14x = -3x + x2 + (5 * -1x + x * -1x) 18 + -14x = -3x + x2 + (-5x + -1x2) Reorder the terms: 18 + -14x = -3x + -5x + x2 + -1x2 Combine like terms: -3x + -5x = -8x 18 + -14x = -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -14x = -8x + 0 18 + -14x = -8x Solving 18 + -14x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + -14x + 8x = -8x + 8x Combine like terms: -14x + 8x = -6x 18 + -6x = -8x + 8x Combine like terms: -8x + 8x = 0 18 + -6x = 0 Add '-18' to each side of the equation. 18 + -18 + -6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 0 + -18 -6x = 0 + -18 Combine like terms: 0 + -18 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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