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Simplifying 12(x + -7) + 3(2x + 2) = 50x + -6 Reorder the terms: 12(-7 + x) + 3(2x + 2) = 50x + -6 (-7 * 12 + x * 12) + 3(2x + 2) = 50x + -6 (-84 + 12x) + 3(2x + 2) = 50x + -6 Reorder the terms: -84 + 12x + 3(2 + 2x) = 50x + -6 -84 + 12x + (2 * 3 + 2x * 3) = 50x + -6 -84 + 12x + (6 + 6x) = 50x + -6 Reorder the terms: -84 + 6 + 12x + 6x = 50x + -6 Combine like terms: -84 + 6 = -78 -78 + 12x + 6x = 50x + -6 Combine like terms: 12x + 6x = 18x -78 + 18x = 50x + -6 Reorder the terms: -78 + 18x = -6 + 50x Solving -78 + 18x = -6 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -78 + 18x + -50x = -6 + 50x + -50x Combine like terms: 18x + -50x = -32x -78 + -32x = -6 + 50x + -50x Combine like terms: 50x + -50x = 0 -78 + -32x = -6 + 0 -78 + -32x = -6 Add '78' to each side of the equation. -78 + 78 + -32x = -6 + 78 Combine like terms: -78 + 78 = 0 0 + -32x = -6 + 78 -32x = -6 + 78 Combine like terms: -6 + 78 = 72 -32x = 72 Divide each side by '-32'. x = -2.25 Simplifying x = -2.25
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