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Simplifying x(2x + -3) + 3x = 4 + 2x(5 + x) Reorder the terms: x(-3 + 2x) + 3x = 4 + 2x(5 + x) (-3 * x + 2x * x) + 3x = 4 + 2x(5 + x) (-3x + 2x2) + 3x = 4 + 2x(5 + x) Reorder the terms: -3x + 3x + 2x2 = 4 + 2x(5 + x) Combine like terms: -3x + 3x = 0 0 + 2x2 = 4 + 2x(5 + x) 2x2 = 4 + 2x(5 + x) 2x2 = 4 + (5 * 2x + x * 2x) 2x2 = 4 + (10x + 2x2) Add '-2x2' to each side of the equation. 2x2 + -2x2 = 4 + 10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 4 + 10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 4 + 10x + 0 0 = 4 + 10x Solving 0 = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 0 + -10x = 4 + 10x + -10x Remove the zero: -10x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -10x = 4 + 0 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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