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Simplifying 5(4x + 1) = 3x + -9x Reorder the terms: 5(1 + 4x) = 3x + -9x (1 * 5 + 4x * 5) = 3x + -9x (5 + 20x) = 3x + -9x Combine like terms: 3x + -9x = -6x 5 + 20x = -6x Solving 5 + 20x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 20x + 6x = -6x + 6x Combine like terms: 20x + 6x = 26x 5 + 26x = -6x + 6x Combine like terms: -6x + 6x = 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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