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Simplifying 12(x + -7) = 3(x + -17) Reorder the terms: 12(-7 + x) = 3(x + -17) (-7 * 12 + x * 12) = 3(x + -17) (-84 + 12x) = 3(x + -17) Reorder the terms: -84 + 12x = 3(-17 + x) -84 + 12x = (-17 * 3 + x * 3) -84 + 12x = (-51 + 3x) Solving -84 + 12x = -51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -84 + 12x + -3x = -51 + 3x + -3x Combine like terms: 12x + -3x = 9x -84 + 9x = -51 + 3x + -3x Combine like terms: 3x + -3x = 0 -84 + 9x = -51 + 0 -84 + 9x = -51 Add '84' to each side of the equation. -84 + 84 + 9x = -51 + 84 Combine like terms: -84 + 84 = 0 0 + 9x = -51 + 84 9x = -51 + 84 Combine like terms: -51 + 84 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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