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Simplifying 2(3x + -2) = 6(7x + 6) Reorder the terms: 2(-2 + 3x) = 6(7x + 6) (-2 * 2 + 3x * 2) = 6(7x + 6) (-4 + 6x) = 6(7x + 6) Reorder the terms: -4 + 6x = 6(6 + 7x) -4 + 6x = (6 * 6 + 7x * 6) -4 + 6x = (36 + 42x) Solving -4 + 6x = 36 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -4 + 6x + -42x = 36 + 42x + -42x Combine like terms: 6x + -42x = -36x -4 + -36x = 36 + 42x + -42x Combine like terms: 42x + -42x = 0 -4 + -36x = 36 + 0 -4 + -36x = 36 Add '4' to each side of the equation. -4 + 4 + -36x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -36x = 36 + 4 -36x = 36 + 4 Combine like terms: 36 + 4 = 40 -36x = 40 Divide each side by '-36'. x = -1.111111111 Simplifying x = -1.111111111
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