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Simplifying 5(6x + 3) = 4(4x + -1) Reorder the terms: 5(3 + 6x) = 4(4x + -1) (3 * 5 + 6x * 5) = 4(4x + -1) (15 + 30x) = 4(4x + -1) Reorder the terms: 15 + 30x = 4(-1 + 4x) 15 + 30x = (-1 * 4 + 4x * 4) 15 + 30x = (-4 + 16x) Solving 15 + 30x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + 30x + -16x = -4 + 16x + -16x Combine like terms: 30x + -16x = 14x 15 + 14x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + 14x = -4 + 0 15 + 14x = -4 Add '-15' to each side of the equation. 15 + -15 + 14x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = -4 + -15 14x = -4 + -15 Combine like terms: -4 + -15 = -19 14x = -19 Divide each side by '14'. x = -1.357142857 Simplifying x = -1.357142857
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