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Simplifying 12(x + -7) + 4(2x + 2) = 50x + -62 Reorder the terms: 12(-7 + x) + 4(2x + 2) = 50x + -62 (-7 * 12 + x * 12) + 4(2x + 2) = 50x + -62 (-84 + 12x) + 4(2x + 2) = 50x + -62 Reorder the terms: -84 + 12x + 4(2 + 2x) = 50x + -62 -84 + 12x + (2 * 4 + 2x * 4) = 50x + -62 -84 + 12x + (8 + 8x) = 50x + -62 Reorder the terms: -84 + 8 + 12x + 8x = 50x + -62 Combine like terms: -84 + 8 = -76 -76 + 12x + 8x = 50x + -62 Combine like terms: 12x + 8x = 20x -76 + 20x = 50x + -62 Reorder the terms: -76 + 20x = -62 + 50x Solving -76 + 20x = -62 + 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. -76 + 20x + -50x = -62 + 50x + -50x Combine like terms: 20x + -50x = -30x -76 + -30x = -62 + 50x + -50x Combine like terms: 50x + -50x = 0 -76 + -30x = -62 + 0 -76 + -30x = -62 Add '76' to each side of the equation. -76 + 76 + -30x = -62 + 76 Combine like terms: -76 + 76 = 0 0 + -30x = -62 + 76 -30x = -62 + 76 Combine like terms: -62 + 76 = 14 -30x = 14 Divide each side by '-30'. x = -0.4666666667 Simplifying x = -0.4666666667
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