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Simplifying 5(4x + -10) = 3(2x + 3) Reorder the terms: 5(-10 + 4x) = 3(2x + 3) (-10 * 5 + 4x * 5) = 3(2x + 3) (-50 + 20x) = 3(2x + 3) Reorder the terms: -50 + 20x = 3(3 + 2x) -50 + 20x = (3 * 3 + 2x * 3) -50 + 20x = (9 + 6x) Solving -50 + 20x = 9 + 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. -50 + 20x + -6x = 9 + 6x + -6x Combine like terms: 20x + -6x = 14x -50 + 14x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -50 + 14x = 9 + 0 -50 + 14x = 9 Add '50' to each side of the equation. -50 + 50 + 14x = 9 + 50 Combine like terms: -50 + 50 = 0 0 + 14x = 9 + 50 14x = 9 + 50 Combine like terms: 9 + 50 = 59 14x = 59 Divide each side by '14'. x = 4.214285714 Simplifying x = 4.214285714
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