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Simplifying 4(x + -6) = 2(7 + -7x) Reorder the terms: 4(-6 + x) = 2(7 + -7x) (-6 * 4 + x * 4) = 2(7 + -7x) (-24 + 4x) = 2(7 + -7x) -24 + 4x = (7 * 2 + -7x * 2) -24 + 4x = (14 + -14x) Solving -24 + 4x = 14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -24 + 4x + 14x = 14 + -14x + 14x Combine like terms: 4x + 14x = 18x -24 + 18x = 14 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + 18x = 14 + 0 -24 + 18x = 14 Add '24' to each side of the equation. -24 + 24 + 18x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = 14 + 24 18x = 14 + 24 Combine like terms: 14 + 24 = 38 18x = 38 Divide each side by '18'. x = 2.111111111 Simplifying x = 2.111111111
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