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Simplifying 2(X + -35) + -3(X + 10) = 35 + -6(X + -30) Reorder the terms: 2(-35 + X) + -3(X + 10) = 35 + -6(X + -30) (-35 * 2 + X * 2) + -3(X + 10) = 35 + -6(X + -30) (-70 + 2X) + -3(X + 10) = 35 + -6(X + -30) Reorder the terms: -70 + 2X + -3(10 + X) = 35 + -6(X + -30) -70 + 2X + (10 * -3 + X * -3) = 35 + -6(X + -30) -70 + 2X + (-30 + -3X) = 35 + -6(X + -30) Reorder the terms: -70 + -30 + 2X + -3X = 35 + -6(X + -30) Combine like terms: -70 + -30 = -100 -100 + 2X + -3X = 35 + -6(X + -30) Combine like terms: 2X + -3X = -1X -100 + -1X = 35 + -6(X + -30) Reorder the terms: -100 + -1X = 35 + -6(-30 + X) -100 + -1X = 35 + (-30 * -6 + X * -6) -100 + -1X = 35 + (180 + -6X) Combine like terms: 35 + 180 = 215 -100 + -1X = 215 + -6X Solving -100 + -1X = 215 + -6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6X' to each side of the equation. -100 + -1X + 6X = 215 + -6X + 6X Combine like terms: -1X + 6X = 5X -100 + 5X = 215 + -6X + 6X Combine like terms: -6X + 6X = 0 -100 + 5X = 215 + 0 -100 + 5X = 215 Add '100' to each side of the equation. -100 + 100 + 5X = 215 + 100 Combine like terms: -100 + 100 = 0 0 + 5X = 215 + 100 5X = 215 + 100 Combine like terms: 215 + 100 = 315 5X = 315 Divide each side by '5'. X = 63 Simplifying X = 63
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