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