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Simplifying 4(5x + 10) = 3(2x + 1) Reorder the terms: 4(10 + 5x) = 3(2x + 1) (10 * 4 + 5x * 4) = 3(2x + 1) (40 + 20x) = 3(2x + 1) Reorder the terms: 40 + 20x = 3(1 + 2x) 40 + 20x = (1 * 3 + 2x * 3) 40 + 20x = (3 + 6x) Solving 40 + 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. 40 + 20x + -6x = 3 + 6x + -6x Combine like terms: 20x + -6x = 14x 40 + 14x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 14x = 3 + 0 40 + 14x = 3 Add '-40' to each side of the equation. 40 + -40 + 14x = 3 + -40 Combine like terms: 40 + -40 = 0 0 + 14x = 3 + -40 14x = 3 + -40 Combine like terms: 3 + -40 = -37 14x = -37 Divide each side by '14'. x = -2.642857143 Simplifying x = -2.642857143
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