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Simplifying (5x2 + 5x + 3) + -1(5x2 + -4) = 9x + -14 Reorder the terms: (3 + 5x + 5x2) + -1(5x2 + -4) = 9x + -14 Remove parenthesis around (3 + 5x + 5x2) 3 + 5x + 5x2 + -1(5x2 + -4) = 9x + -14 Reorder the terms: 3 + 5x + 5x2 + -1(-4 + 5x2) = 9x + -14 3 + 5x + 5x2 + (-4 * -1 + 5x2 * -1) = 9x + -14 3 + 5x + 5x2 + (4 + -5x2) = 9x + -14 Reorder the terms: 3 + 4 + 5x + 5x2 + -5x2 = 9x + -14 Combine like terms: 3 + 4 = 7 7 + 5x + 5x2 + -5x2 = 9x + -14 Combine like terms: 5x2 + -5x2 = 0 7 + 5x + 0 = 9x + -14 7 + 5x = 9x + -14 Reorder the terms: 7 + 5x = -14 + 9x Solving 7 + 5x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 5x + -9x = -14 + 9x + -9x Combine like terms: 5x + -9x = -4x 7 + -4x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -4x = -14 + 0 7 + -4x = -14 Add '-7' to each side of the equation. 7 + -7 + -4x = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -14 + -7 -4x = -14 + -7 Combine like terms: -14 + -7 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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