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Simplifying 6(3x + 6) = 4(5x + -2) Reorder the terms: 6(6 + 3x) = 4(5x + -2) (6 * 6 + 3x * 6) = 4(5x + -2) (36 + 18x) = 4(5x + -2) Reorder the terms: 36 + 18x = 4(-2 + 5x) 36 + 18x = (-2 * 4 + 5x * 4) 36 + 18x = (-8 + 20x) Solving 36 + 18x = -8 + 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. 36 + 18x + -20x = -8 + 20x + -20x Combine like terms: 18x + -20x = -2x 36 + -2x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 36 + -2x = -8 + 0 36 + -2x = -8 Add '-36' to each side of the equation. 36 + -36 + -2x = -8 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -8 + -36 -2x = -8 + -36 Combine like terms: -8 + -36 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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