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Simplifying -6 = 4(x + -5) + -2 Reorder the terms: -6 = 4(-5 + x) + -2 -6 = (-5 * 4 + x * 4) + -2 -6 = (-20 + 4x) + -2 Reorder the terms: -6 = -20 + -2 + 4x Combine like terms: -20 + -2 = -22 -6 = -22 + 4x Solving -6 = -22 + 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 + -4x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -4x = -22 + 0 -6 + -4x = -22 Add '6' to each side of the equation. -6 + 6 + -4x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -22 + 6 -4x = -22 + 6 Combine like terms: -22 + 6 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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