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Simplifying 4(5x + -1) = 3(2x + 1) Reorder the terms: 4(-1 + 5x) = 3(2x + 1) (-1 * 4 + 5x * 4) = 3(2x + 1) (-4 + 20x) = 3(2x + 1) Reorder the terms: -4 + 20x = 3(1 + 2x) -4 + 20x = (1 * 3 + 2x * 3) -4 + 20x = (3 + 6x) Solving -4 + 20x = 3 + 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. -4 + 20x + -6x = 3 + 6x + -6x Combine like terms: 20x + -6x = 14x -4 + 14x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 14x = 3 + 0 -4 + 14x = 3 Add '4' to each side of the equation. -4 + 4 + 14x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 3 + 4 14x = 3 + 4 Combine like terms: 3 + 4 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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