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Simplifying (5x2 + 6x + -3) + -1(5x2 + 3) = 24 Reorder the terms: (-3 + 6x + 5x2) + -1(5x2 + 3) = 24 Remove parenthesis around (-3 + 6x + 5x2) -3 + 6x + 5x2 + -1(5x2 + 3) = 24 Reorder the terms: -3 + 6x + 5x2 + -1(3 + 5x2) = 24 -3 + 6x + 5x2 + (3 * -1 + 5x2 * -1) = 24 -3 + 6x + 5x2 + (-3 + -5x2) = 24 Reorder the terms: -3 + -3 + 6x + 5x2 + -5x2 = 24 Combine like terms: -3 + -3 = -6 -6 + 6x + 5x2 + -5x2 = 24 Combine like terms: 5x2 + -5x2 = 0 -6 + 6x + 0 = 24 -6 + 6x = 24 Solving -6 + 6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 24 + 6 6x = 24 + 6 Combine like terms: 24 + 6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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