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Simplifying 7(x + -12) + -5(5x + -2) = 70 Reorder the terms: 7(-12 + x) + -5(5x + -2) = 70 (-12 * 7 + x * 7) + -5(5x + -2) = 70 (-84 + 7x) + -5(5x + -2) = 70 Reorder the terms: -84 + 7x + -5(-2 + 5x) = 70 -84 + 7x + (-2 * -5 + 5x * -5) = 70 -84 + 7x + (10 + -25x) = 70 Reorder the terms: -84 + 10 + 7x + -25x = 70 Combine like terms: -84 + 10 = -74 -74 + 7x + -25x = 70 Combine like terms: 7x + -25x = -18x -74 + -18x = 70 Solving -74 + -18x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -18x = 70 + 74 Combine like terms: -74 + 74 = 0 0 + -18x = 70 + 74 -18x = 70 + 74 Combine like terms: 70 + 74 = 144 -18x = 144 Divide each side by '-18'. x = -8 Simplifying x = -8
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