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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 = -2 -2 + x + -3x = 7x + 2(11 + -4x) Combine like terms: x + -3x = -2x -2 + -2x = 7x + 2(11 + -4x) -2 + -2x = 7x + (11 * 2 + -4x * 2) -2 + -2x = 7x + (22 + -8x) Reorder the terms: -2 + -2x = 22 + 7x + -8x Combine like terms: 7x + -8x = -1x -2 + -2x = 22 + -1x Solving -2 + -2x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + -2x + x = 22 + -1x + x Combine like terms: -2x + x = -1x -2 + -1x = 22 + -1x + x Combine like terms: -1x + x = 0 -2 + -1x = 22 + 0 -2 + -1x = 22 Add '2' to each side of the equation. -2 + 2 + -1x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 22 + 2 -1x = 22 + 2 Combine like terms: 22 + 2 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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