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Simplifying 3x + -2 = 5(4x + -2) Reorder the terms: -2 + 3x = 5(4x + -2) Reorder the terms: -2 + 3x = 5(-2 + 4x) -2 + 3x = (-2 * 5 + 4x * 5) -2 + 3x = (-10 + 20x) Solving -2 + 3x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -2 + 3x + -20x = -10 + 20x + -20x Combine like terms: 3x + -20x = -17x -2 + -17x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + -17x = -10 + 0 -2 + -17x = -10 Add '2' to each side of the equation. -2 + 2 + -17x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = -10 + 2 -17x = -10 + 2 Combine like terms: -10 + 2 = -8 -17x = -8 Divide each side by '-17'. x = 0.4705882353 Simplifying x = 0.4705882353
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