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Simplifying 6(7x + -1) + 2(3x + -3) + 2 = 6 Reorder the terms: 6(-1 + 7x) + 2(3x + -3) + 2 = 6 (-1 * 6 + 7x * 6) + 2(3x + -3) + 2 = 6 (-6 + 42x) + 2(3x + -3) + 2 = 6 Reorder the terms: -6 + 42x + 2(-3 + 3x) + 2 = 6 -6 + 42x + (-3 * 2 + 3x * 2) + 2 = 6 -6 + 42x + (-6 + 6x) + 2 = 6 Reorder the terms: -6 + -6 + 2 + 42x + 6x = 6 Combine like terms: -6 + -6 = -12 -12 + 2 + 42x + 6x = 6 Combine like terms: -12 + 2 = -10 -10 + 42x + 6x = 6 Combine like terms: 42x + 6x = 48x -10 + 48x = 6 Solving -10 + 48x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 48x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 48x = 6 + 10 48x = 6 + 10 Combine like terms: 6 + 10 = 16 48x = 16 Divide each side by '48'. x = 0.3333333333 Simplifying x = 0.3333333333
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