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Simplifying 5x(2x + -1) + -14 = 2x(5x + 6) + 3 Reorder the terms: 5x(-1 + 2x) + -14 = 2x(5x + 6) + 3 (-1 * 5x + 2x * 5x) + -14 = 2x(5x + 6) + 3 (-5x + 10x2) + -14 = 2x(5x + 6) + 3 Reorder the terms: -14 + -5x + 10x2 = 2x(5x + 6) + 3 Reorder the terms: -14 + -5x + 10x2 = 2x(6 + 5x) + 3 -14 + -5x + 10x2 = (6 * 2x + 5x * 2x) + 3 -14 + -5x + 10x2 = (12x + 10x2) + 3 Reorder the terms: -14 + -5x + 10x2 = 3 + 12x + 10x2 Add '-10x2' to each side of the equation. -14 + -5x + 10x2 + -10x2 = 3 + 12x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -14 + -5x + 0 = 3 + 12x + 10x2 + -10x2 -14 + -5x = 3 + 12x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -14 + -5x = 3 + 12x + 0 -14 + -5x = 3 + 12x Solving -14 + -5x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + -5x + -12x = 3 + 12x + -12x Combine like terms: -5x + -12x = -17x -14 + -17x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -17x = 3 + 0 -14 + -17x = 3 Add '14' to each side of the equation. -14 + 14 + -17x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + -17x = 3 + 14 -17x = 3 + 14 Combine like terms: 3 + 14 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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