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Simplifying -222 = -6x + -6(x + 25) Reorder the terms: -222 = -6x + -6(25 + x) -222 = -6x + (25 * -6 + x * -6) -222 = -6x + (-150 + -6x) Reorder the terms: -222 = -150 + -6x + -6x Combine like terms: -6x + -6x = -12x -222 = -150 + -12x Solving -222 = -150 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -222 + 12x = -150 + -12x + 12x Combine like terms: -12x + 12x = 0 -222 + 12x = -150 + 0 -222 + 12x = -150 Add '222' to each side of the equation. -222 + 222 + 12x = -150 + 222 Combine like terms: -222 + 222 = 0 0 + 12x = -150 + 222 12x = -150 + 222 Combine like terms: -150 + 222 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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