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Simplifying 3 + -4x(25 + -2x) = 8x2 + x + 300 3 + (25 * -4x + -2x * -4x) = 8x2 + x + 300 3 + (-100x + 8x2) = 8x2 + x + 300 Reorder the terms: 3 + -100x + 8x2 = 300 + x + 8x2 Add '-8x2' to each side of the equation. 3 + -100x + 8x2 + -8x2 = 300 + x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 3 + -100x + 0 = 300 + x + 8x2 + -8x2 3 + -100x = 300 + x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 3 + -100x = 300 + x + 0 3 + -100x = 300 + x Solving 3 + -100x = 300 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -100x + -1x = 300 + x + -1x Combine like terms: -100x + -1x = -101x 3 + -101x = 300 + x + -1x Combine like terms: x + -1x = 0 3 + -101x = 300 + 0 3 + -101x = 300 Add '-3' to each side of the equation. 3 + -3 + -101x = 300 + -3 Combine like terms: 3 + -3 = 0 0 + -101x = 300 + -3 -101x = 300 + -3 Combine like terms: 300 + -3 = 297 -101x = 297 Divide each side by '-101'. x = -2.940594059 Simplifying x = -2.940594059
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