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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 = 34 34 + -4x = 6 + -2x Solving 34 + -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. 34 + -4x + 2x = 6 + -2x + 2x Combine like terms: -4x + 2x = -2x 34 + -2x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + -2x = 6 + 0 34 + -2x = 6 Add '-34' to each side of the equation. 34 + -34 + -2x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 6 + -34 -2x = 6 + -34 Combine like terms: 6 + -34 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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