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Simplifying 6(x + -7) + -12 = 20x + -222 Reorder the terms: 6(-7 + x) + -12 = 20x + -222 (-7 * 6 + x * 6) + -12 = 20x + -222 (-42 + 6x) + -12 = 20x + -222 Reorder the terms: -42 + -12 + 6x = 20x + -222 Combine like terms: -42 + -12 = -54 -54 + 6x = 20x + -222 Reorder the terms: -54 + 6x = -222 + 20x Solving -54 + 6x = -222 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -54 + 6x + -20x = -222 + 20x + -20x Combine like terms: 6x + -20x = -14x -54 + -14x = -222 + 20x + -20x Combine like terms: 20x + -20x = 0 -54 + -14x = -222 + 0 -54 + -14x = -222 Add '54' to each side of the equation. -54 + 54 + -14x = -222 + 54 Combine like terms: -54 + 54 = 0 0 + -14x = -222 + 54 -14x = -222 + 54 Combine like terms: -222 + 54 = -168 -14x = -168 Divide each side by '-14'. x = 12 Simplifying x = 12
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