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Simplifying 5(4x + -2) = 3x + 7 Reorder the terms: 5(-2 + 4x) = 3x + 7 (-2 * 5 + 4x * 5) = 3x + 7 (-10 + 20x) = 3x + 7 Reorder the terms: -10 + 20x = 7 + 3x Solving -10 + 20x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 20x + -3x = 7 + 3x + -3x Combine like terms: 20x + -3x = 17x -10 + 17x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 17x = 7 + 0 -10 + 17x = 7 Add '10' to each side of the equation. -10 + 10 + 17x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 7 + 10 17x = 7 + 10 Combine like terms: 7 + 10 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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