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Simplifying 7(x + -10) + -2 = 2(9x + -7) + -3 Reorder the terms: 7(-10 + x) + -2 = 2(9x + -7) + -3 (-10 * 7 + x * 7) + -2 = 2(9x + -7) + -3 (-70 + 7x) + -2 = 2(9x + -7) + -3 Reorder the terms: -70 + -2 + 7x = 2(9x + -7) + -3 Combine like terms: -70 + -2 = -72 -72 + 7x = 2(9x + -7) + -3 Reorder the terms: -72 + 7x = 2(-7 + 9x) + -3 -72 + 7x = (-7 * 2 + 9x * 2) + -3 -72 + 7x = (-14 + 18x) + -3 Reorder the terms: -72 + 7x = -14 + -3 + 18x Combine like terms: -14 + -3 = -17 -72 + 7x = -17 + 18x Solving -72 + 7x = -17 + 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. -72 + 7x + -18x = -17 + 18x + -18x Combine like terms: 7x + -18x = -11x -72 + -11x = -17 + 18x + -18x Combine like terms: 18x + -18x = 0 -72 + -11x = -17 + 0 -72 + -11x = -17 Add '72' to each side of the equation. -72 + 72 + -11x = -17 + 72 Combine like terms: -72 + 72 = 0 0 + -11x = -17 + 72 -11x = -17 + 72 Combine like terms: -17 + 72 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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