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Simplifying 5(4x + 10) = 2(3x + -4) Reorder the terms: 5(10 + 4x) = 2(3x + -4) (10 * 5 + 4x * 5) = 2(3x + -4) (50 + 20x) = 2(3x + -4) Reorder the terms: 50 + 20x = 2(-4 + 3x) 50 + 20x = (-4 * 2 + 3x * 2) 50 + 20x = (-8 + 6x) Solving 50 + 20x = -8 + 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 = -8 + 6x + -6x Combine like terms: 20x + -6x = 14x 50 + 14x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + 14x = -8 + 0 50 + 14x = -8 Add '-50' to each side of the equation. 50 + -50 + 14x = -8 + -50 Combine like terms: 50 + -50 = 0 0 + 14x = -8 + -50 14x = -8 + -50 Combine like terms: -8 + -50 = -58 14x = -58 Divide each side by '14'. x = -4.142857143 Simplifying x = -4.142857143
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