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Simplifying 6 + -2x = 14 + 4(x + -5) Reorder the terms: 6 + -2x = 14 + 4(-5 + x) 6 + -2x = 14 + (-5 * 4 + x * 4) 6 + -2x = 14 + (-20 + 4x) Combine like terms: 14 + -20 = -6 6 + -2x = -6 + 4x Solving 6 + -2x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -2x + -4x = -6 + 4x + -4x Combine like terms: -2x + -4x = -6x 6 + -6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 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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