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Simplifying (5x2 + 4x + 1) + -1(5x2 + -2) = 8x + -14 Reorder the terms: (1 + 4x + 5x2) + -1(5x2 + -2) = 8x + -14 Remove parenthesis around (1 + 4x + 5x2) 1 + 4x + 5x2 + -1(5x2 + -2) = 8x + -14 Reorder the terms: 1 + 4x + 5x2 + -1(-2 + 5x2) = 8x + -14 1 + 4x + 5x2 + (-2 * -1 + 5x2 * -1) = 8x + -14 1 + 4x + 5x2 + (2 + -5x2) = 8x + -14 Reorder the terms: 1 + 2 + 4x + 5x2 + -5x2 = 8x + -14 Combine like terms: 1 + 2 = 3 3 + 4x + 5x2 + -5x2 = 8x + -14 Combine like terms: 5x2 + -5x2 = 0 3 + 4x + 0 = 8x + -14 3 + 4x = 8x + -14 Reorder the terms: 3 + 4x = -14 + 8x Solving 3 + 4x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 4x + -8x = -14 + 8x + -8x Combine like terms: 4x + -8x = -4x 3 + -4x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -4x = -14 + 0 3 + -4x = -14 Add '-3' to each side of the equation. 3 + -3 + -4x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -14 + -3 -4x = -14 + -3 Combine like terms: -14 + -3 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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