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Simplifying 3x(x + 5) + -14 = x(3x + -2) + 5 Reorder the terms: 3x(5 + x) + -14 = x(3x + -2) + 5 (5 * 3x + x * 3x) + -14 = x(3x + -2) + 5 (15x + 3x2) + -14 = x(3x + -2) + 5 Reorder the terms: -14 + 15x + 3x2 = x(3x + -2) + 5 Reorder the terms: -14 + 15x + 3x2 = x(-2 + 3x) + 5 -14 + 15x + 3x2 = (-2 * x + 3x * x) + 5 -14 + 15x + 3x2 = (-2x + 3x2) + 5 Reorder the terms: -14 + 15x + 3x2 = 5 + -2x + 3x2 Add '-3x2' to each side of the equation. -14 + 15x + 3x2 + -3x2 = 5 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -14 + 15x + 0 = 5 + -2x + 3x2 + -3x2 -14 + 15x = 5 + -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -14 + 15x = 5 + -2x + 0 -14 + 15x = 5 + -2x Solving -14 + 15x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 15x + 2x = 5 + -2x + 2x Combine like terms: 15x + 2x = 17x -14 + 17x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 17x = 5 + 0 -14 + 17x = 5 Add '14' to each side of the equation. -14 + 14 + 17x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 17x = 5 + 14 17x = 5 + 14 Combine like terms: 5 + 14 = 19 17x = 19 Divide each side by '17'. x = 1.117647059 Simplifying x = 1.117647059
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