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Simplifying 4(x + -1) + -2(x + -5) = 14 Reorder the terms: 4(-1 + x) + -2(x + -5) = 14 (-1 * 4 + x * 4) + -2(x + -5) = 14 (-4 + 4x) + -2(x + -5) = 14 Reorder the terms: -4 + 4x + -2(-5 + x) = 14 -4 + 4x + (-5 * -2 + x * -2) = 14 -4 + 4x + (10 + -2x) = 14 Reorder the terms: -4 + 10 + 4x + -2x = 14 Combine like terms: -4 + 10 = 6 6 + 4x + -2x = 14 Combine like terms: 4x + -2x = 2x 6 + 2x = 14 Solving 6 + 2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 14 + -6 2x = 14 + -6 Combine like terms: 14 + -6 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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