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Simplifying 12 + -1(x + -7) + 3(2x + 2) = 50x + -62 Reorder the terms: 12 + -1(-7 + x) + 3(2x + 2) = 50x + -62 12 + (-7 * -1 + x * -1) + 3(2x + 2) = 50x + -62 12 + (7 + -1x) + 3(2x + 2) = 50x + -62 Reorder the terms: 12 + 7 + -1x + 3(2 + 2x) = 50x + -62 12 + 7 + -1x + (2 * 3 + 2x * 3) = 50x + -62 12 + 7 + -1x + (6 + 6x) = 50x + -62 Reorder the terms: 12 + 7 + 6 + -1x + 6x = 50x + -62 Combine like terms: 12 + 7 = 19 19 + 6 + -1x + 6x = 50x + -62 Combine like terms: 19 + 6 = 25 25 + -1x + 6x = 50x + -62 Combine like terms: -1x + 6x = 5x 25 + 5x = 50x + -62 Reorder the terms: 25 + 5x = -62 + 50x Solving 25 + 5x = -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. 25 + 5x + -50x = -62 + 50x + -50x Combine like terms: 5x + -50x = -45x 25 + -45x = -62 + 50x + -50x Combine like terms: 50x + -50x = 0 25 + -45x = -62 + 0 25 + -45x = -62 Add '-25' to each side of the equation. 25 + -25 + -45x = -62 + -25 Combine like terms: 25 + -25 = 0 0 + -45x = -62 + -25 -45x = -62 + -25 Combine like terms: -62 + -25 = -87 -45x = -87 Divide each side by '-45'. x = 1.933333333 Simplifying x = 1.933333333
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