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Simplifying (6)(3x + 2) = (6)(5x + -10) Reorder the terms: 6(2 + 3x) = (6)(5x + -10) (2 * 6 + 3x * 6) = (6)(5x + -10) (12 + 18x) = (6)(5x + -10) Reorder the terms: 12 + 18x = 6(-10 + 5x) 12 + 18x = (-10 * 6 + 5x * 6) 12 + 18x = (-60 + 30x) Solving 12 + 18x = -60 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 12 + 18x + -30x = -60 + 30x + -30x Combine like terms: 18x + -30x = -12x 12 + -12x = -60 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -12x = -60 + 0 12 + -12x = -60 Add '-12' to each side of the equation. 12 + -12 + -12x = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -60 + -12 -12x = -60 + -12 Combine like terms: -60 + -12 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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