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Simplifying 3x + -2 = 5(4x + -6) Reorder the terms: -2 + 3x = 5(4x + -6) Reorder the terms: -2 + 3x = 5(-6 + 4x) -2 + 3x = (-6 * 5 + 4x * 5) -2 + 3x = (-30 + 20x) Solving -2 + 3x = -30 + 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 = -30 + 20x + -20x Combine like terms: 3x + -20x = -17x -2 + -17x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + -17x = -30 + 0 -2 + -17x = -30 Add '2' to each side of the equation. -2 + 2 + -17x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = -30 + 2 -17x = -30 + 2 Combine like terms: -30 + 2 = -28 -17x = -28 Divide each side by '-17'. x = 1.647058824 Simplifying x = 1.647058824
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