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Simplifying x(x + -3) + 4x + -3 = 8x + x(3 + x) Reorder the terms: x(-3 + x) + 4x + -3 = 8x + x(3 + x) (-3 * x + x * x) + 4x + -3 = 8x + x(3 + x) (-3x + x2) + 4x + -3 = 8x + x(3 + x) Reorder the terms: -3 + -3x + 4x + x2 = 8x + x(3 + x) Combine like terms: -3x + 4x = 1x -3 + 1x + x2 = 8x + x(3 + x) -3 + 1x + x2 = 8x + (3 * x + x * x) -3 + 1x + x2 = 8x + (3x + x2) Combine like terms: 8x + 3x = 11x -3 + 1x + x2 = 11x + x2 Add '-1x2' to each side of the equation. -3 + 1x + x2 + -1x2 = 11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 1x + 0 = 11x + x2 + -1x2 -3 + 1x = 11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 1x = 11x + 0 -3 + 1x = 11x Solving -3 + 1x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3 + 1x + -11x = 11x + -11x Combine like terms: 1x + -11x = -10x -3 + -10x = 11x + -11x Combine like terms: 11x + -11x = 0 -3 + -10x = 0 Add '3' to each side of the equation. -3 + 3 + -10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 0 + 3 -10x = 0 + 3 Combine like terms: 0 + 3 = 3 -10x = 3 Divide each side by '-10'. x = -0.3 Simplifying x = -0.3
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