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Simplifying -7x + -12(x + 7) = -2(9x + 5) Reorder the terms: -7x + -12(7 + x) = -2(9x + 5) -7x + (7 * -12 + x * -12) = -2(9x + 5) -7x + (-84 + -12x) = -2(9x + 5) Reorder the terms: -84 + -7x + -12x = -2(9x + 5) Combine like terms: -7x + -12x = -19x -84 + -19x = -2(9x + 5) Reorder the terms: -84 + -19x = -2(5 + 9x) -84 + -19x = (5 * -2 + 9x * -2) -84 + -19x = (-10 + -18x) Solving -84 + -19x = -10 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -84 + -19x + 18x = -10 + -18x + 18x Combine like terms: -19x + 18x = -1x -84 + -1x = -10 + -18x + 18x Combine like terms: -18x + 18x = 0 -84 + -1x = -10 + 0 -84 + -1x = -10 Add '84' to each side of the equation. -84 + 84 + -1x = -10 + 84 Combine like terms: -84 + 84 = 0 0 + -1x = -10 + 84 -1x = -10 + 84 Combine like terms: -10 + 84 = 74 -1x = 74 Divide each side by '-1'. x = -74 Simplifying x = -74
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