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Simplifying 14 + 4(x + -5) = 6 + -2x Reorder the terms: 14 + 4(-5 + x) = 6 + -2x 14 + (-5 * 4 + x * 4) = 6 + -2x 14 + (-20 + 4x) = 6 + -2x Combine like terms: 14 + -20 = -6 -6 + 4x = 6 + -2x Solving -6 + 4x = 6 + -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. -6 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x -6 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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