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Simplifying (x + 10) + -1(3x + -12) = 7x + 2(11 + -4X) Reorder the terms: (10 + x) + -1(3x + -12) = 7x + 2(11 + -4X) Remove parenthesis around (10 + x) 10 + x + -1(3x + -12) = 7x + 2(11 + -4X) Reorder the terms: 10 + x + -1(-12 + 3x) = 7x + 2(11 + -4X) 10 + x + (-12 * -1 + 3x * -1) = 7x + 2(11 + -4X) 10 + x + (12 + -3x) = 7x + 2(11 + -4X) Reorder the terms: 10 + 12 + x + -3x = 7x + 2(11 + -4X) Combine like terms: 10 + 12 = 22 22 + x + -3x = 7x + 2(11 + -4X) Combine like terms: x + -3x = -2x 22 + -2x = 7x + 2(11 + -4X) 22 + -2x = 7x + (11 * 2 + -4X * 2) 22 + -2x = 7x + (22 + -8X) Reorder the terms: 22 + -2x = 22 + -8X + 7x Add '-22' to each side of the equation. 22 + -22 + -2x = 22 + -8X + -22 + 7x Combine like terms: 22 + -22 = 0 0 + -2x = 22 + -8X + -22 + 7x -2x = 22 + -8X + -22 + 7x Reorder the terms: -2x = 22 + -22 + -8X + 7x Combine like terms: 22 + -22 = 0 -2x = 0 + -8X + 7x -2x = -8X + 7x Solving -2x = -8X + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2x + -7x = -8X + 7x + -7x Combine like terms: -2x + -7x = -9x -9x = -8X + 7x + -7x Combine like terms: 7x + -7x = 0 -9x = -8X + 0 -9x = -8X Divide each side by '-9'. x = 0.8888888889X Simplifying x = 0.8888888889X
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