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Simplifying 4x + -6(3 + -7x) = 2x + 8 4x + (3 * -6 + -7x * -6) = 2x + 8 4x + (-18 + 42x) = 2x + 8 Reorder the terms: -18 + 4x + 42x = 2x + 8 Combine like terms: 4x + 42x = 46x -18 + 46x = 2x + 8 Reorder the terms: -18 + 46x = 8 + 2x Solving -18 + 46x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 46x + -2x = 8 + 2x + -2x Combine like terms: 46x + -2x = 44x -18 + 44x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 44x = 8 + 0 -18 + 44x = 8 Add '18' to each side of the equation. -18 + 18 + 44x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 44x = 8 + 18 44x = 8 + 18 Combine like terms: 8 + 18 = 26 44x = 26 Divide each side by '44'. x = 0.5909090909 Simplifying x = 0.5909090909
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