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Simplifying 5(4x + 2) = 10(3x + -5) Reorder the terms: 5(2 + 4x) = 10(3x + -5) (2 * 5 + 4x * 5) = 10(3x + -5) (10 + 20x) = 10(3x + -5) Reorder the terms: 10 + 20x = 10(-5 + 3x) 10 + 20x = (-5 * 10 + 3x * 10) 10 + 20x = (-50 + 30x) Solving 10 + 20x = -50 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10 + 20x + -30x = -50 + 30x + -30x Combine like terms: 20x + -30x = -10x 10 + -10x = -50 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -10x = -50 + 0 10 + -10x = -50 Add '-10' to each side of the equation. 10 + -10 + -10x = -50 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -50 + -10 -10x = -50 + -10 Combine like terms: -50 + -10 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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