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Simplifying -222 = -1x + -7(6 + 5x) -222 = -1x + (6 * -7 + 5x * -7) -222 = -1x + (-42 + -35x) Reorder the terms: -222 = -42 + -1x + -35x Combine like terms: -1x + -35x = -36x -222 = -42 + -36x Solving -222 = -42 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -222 + 36x = -42 + -36x + 36x Combine like terms: -36x + 36x = 0 -222 + 36x = -42 + 0 -222 + 36x = -42 Add '222' to each side of the equation. -222 + 222 + 36x = -42 + 222 Combine like terms: -222 + 222 = 0 0 + 36x = -42 + 222 36x = -42 + 222 Combine like terms: -42 + 222 = 180 36x = 180 Divide each side by '36'. x = 5 Simplifying x = 5
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