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Simplifying (5x2 + 5x + 1) + -1(5x2 + -4) = 8x + -14 Reorder the terms: (1 + 5x + 5x2) + -1(5x2 + -4) = 8x + -14 Remove parenthesis around (1 + 5x + 5x2) 1 + 5x + 5x2 + -1(5x2 + -4) = 8x + -14 Reorder the terms: 1 + 5x + 5x2 + -1(-4 + 5x2) = 8x + -14 1 + 5x + 5x2 + (-4 * -1 + 5x2 * -1) = 8x + -14 1 + 5x + 5x2 + (4 + -5x2) = 8x + -14 Reorder the terms: 1 + 4 + 5x + 5x2 + -5x2 = 8x + -14 Combine like terms: 1 + 4 = 5 5 + 5x + 5x2 + -5x2 = 8x + -14 Combine like terms: 5x2 + -5x2 = 0 5 + 5x + 0 = 8x + -14 5 + 5x = 8x + -14 Reorder the terms: 5 + 5x = -14 + 8x Solving 5 + 5x = -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. 5 + 5x + -8x = -14 + 8x + -8x Combine like terms: 5x + -8x = -3x 5 + -3x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -3x = -14 + 0 5 + -3x = -14 Add '-5' to each side of the equation. 5 + -5 + -3x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -14 + -5 -3x = -14 + -5 Combine like terms: -14 + -5 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333
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