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Simplifying -4(x + 22) = 2(x + -5) Reorder the terms: -4(22 + x) = 2(x + -5) (22 * -4 + x * -4) = 2(x + -5) (-88 + -4x) = 2(x + -5) Reorder the terms: -88 + -4x = 2(-5 + x) -88 + -4x = (-5 * 2 + x * 2) -88 + -4x = (-10 + 2x) Solving -88 + -4x = -10 + 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. -88 + -4x + -2x = -10 + 2x + -2x Combine like terms: -4x + -2x = -6x -88 + -6x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -88 + -6x = -10 + 0 -88 + -6x = -10 Add '88' to each side of the equation. -88 + 88 + -6x = -10 + 88 Combine like terms: -88 + 88 = 0 0 + -6x = -10 + 88 -6x = -10 + 88 Combine like terms: -10 + 88 = 78 -6x = 78 Divide each side by '-6'. x = -13 Simplifying x = -13
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