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Simplifying (2x2 + 5x + -3) + -1(2x2 + 4) = 38 Reorder the terms: (-3 + 5x + 2x2) + -1(2x2 + 4) = 38 Remove parenthesis around (-3 + 5x + 2x2) -3 + 5x + 2x2 + -1(2x2 + 4) = 38 Reorder the terms: -3 + 5x + 2x2 + -1(4 + 2x2) = 38 -3 + 5x + 2x2 + (4 * -1 + 2x2 * -1) = 38 -3 + 5x + 2x2 + (-4 + -2x2) = 38 Reorder the terms: -3 + -4 + 5x + 2x2 + -2x2 = 38 Combine like terms: -3 + -4 = -7 -7 + 5x + 2x2 + -2x2 = 38 Combine like terms: 2x2 + -2x2 = 0 -7 + 5x + 0 = 38 -7 + 5x = 38 Solving -7 + 5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 38 + 7 5x = 38 + 7 Combine like terms: 38 + 7 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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