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