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Simplifying 7 + 5(4x + -2) = 3x + -6 Reorder the terms: 7 + 5(-2 + 4x) = 3x + -6 7 + (-2 * 5 + 4x * 5) = 3x + -6 7 + (-10 + 20x) = 3x + -6 Combine like terms: 7 + -10 = -3 -3 + 20x = 3x + -6 Reorder the terms: -3 + 20x = -6 + 3x Solving -3 + 20x = -6 + 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. -3 + 20x + -3x = -6 + 3x + -3x Combine like terms: 20x + -3x = 17x -3 + 17x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 17x = -6 + 0 -3 + 17x = -6 Add '3' to each side of the equation. -3 + 3 + 17x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = -6 + 3 17x = -6 + 3 Combine like terms: -6 + 3 = -3 17x = -3 Divide each side by '17'. x = -0.1764705882 Simplifying x = -0.1764705882
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