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Simplifying 6(7x + -2) = 6(5x + 3) Reorder the terms: 6(-2 + 7x) = 6(5x + 3) (-2 * 6 + 7x * 6) = 6(5x + 3) (-12 + 42x) = 6(5x + 3) Reorder the terms: -12 + 42x = 6(3 + 5x) -12 + 42x = (3 * 6 + 5x * 6) -12 + 42x = (18 + 30x) Solving -12 + 42x = 18 + 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 + 42x + -30x = 18 + 30x + -30x Combine like terms: 42x + -30x = 12x -12 + 12x = 18 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + 12x = 18 + 0 -12 + 12x = 18 Add '12' to each side of the equation. -12 + 12 + 12x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 18 + 12 12x = 18 + 12 Combine like terms: 18 + 12 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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