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Simplifying 3(6x + -2) = 5(4x + -2) Reorder the terms: 3(-2 + 6x) = 5(4x + -2) (-2 * 3 + 6x * 3) = 5(4x + -2) (-6 + 18x) = 5(4x + -2) Reorder the terms: -6 + 18x = 5(-2 + 4x) -6 + 18x = (-2 * 5 + 4x * 5) -6 + 18x = (-10 + 20x) Solving -6 + 18x = -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. -6 + 18x + -20x = -10 + 20x + -20x Combine like terms: 18x + -20x = -2x -6 + -2x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -2x = -10 + 0 -6 + -2x = -10 Add '6' to each side of the equation. -6 + 6 + -2x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -10 + 6 -2x = -10 + 6 Combine like terms: -10 + 6 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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