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Simplifying x(6x + -3) + 5 = 6x(x + -5) + x Reorder the terms: x(-3 + 6x) + 5 = 6x(x + -5) + x (-3 * x + 6x * x) + 5 = 6x(x + -5) + x (-3x + 6x2) + 5 = 6x(x + -5) + x Reorder the terms: 5 + -3x + 6x2 = 6x(x + -5) + x Reorder the terms: 5 + -3x + 6x2 = 6x(-5 + x) + x 5 + -3x + 6x2 = (-5 * 6x + x * 6x) + x 5 + -3x + 6x2 = (-30x + 6x2) + x Reorder the terms: 5 + -3x + 6x2 = -30x + x + 6x2 Combine like terms: -30x + x = -29x 5 + -3x + 6x2 = -29x + 6x2 Add '-6x2' to each side of the equation. 5 + -3x + 6x2 + -6x2 = -29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + -3x + 0 = -29x + 6x2 + -6x2 5 + -3x = -29x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + -3x = -29x + 0 5 + -3x = -29x Solving 5 + -3x = -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 5 + -3x + 29x = -29x + 29x Combine like terms: -3x + 29x = 26x 5 + 26x = -29x + 29x Combine like terms: -29x + 29x = 0 5 + 26x = 0 Add '-5' to each side of the equation. 5 + -5 + 26x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 26x = 0 + -5 26x = 0 + -5 Combine like terms: 0 + -5 = -5 26x = -5 Divide each side by '26'. x = -0.1923076923 Simplifying x = -0.1923076923
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