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Simplifying (x + 10) + -1(3x + 12) = 7x + 2(11x + -4x) Reorder the terms: (10 + x) + -1(3x + 12) = 7x + 2(11x + -4x) Remove parenthesis around (10 + x) 10 + x + -1(3x + 12) = 7x + 2(11x + -4x) Reorder the terms: 10 + x + -1(12 + 3x) = 7x + 2(11x + -4x) 10 + x + (12 * -1 + 3x * -1) = 7x + 2(11x + -4x) 10 + x + (-12 + -3x) = 7x + 2(11x + -4x) Reorder the terms: 10 + -12 + x + -3x = 7x + 2(11x + -4x) Combine like terms: 10 + -12 = -2 -2 + x + -3x = 7x + 2(11x + -4x) Combine like terms: x + -3x = -2x -2 + -2x = 7x + 2(11x + -4x) Combine like terms: 11x + -4x = 7x -2 + -2x = 7x + 2(7x) Remove parenthesis around (7x) -2 + -2x = 7x + 2 * 7x Multiply 2 * 7 -2 + -2x = 7x + 14x Combine like terms: 7x + 14x = 21x -2 + -2x = 21x Solving -2 + -2x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -2 + -2x + -21x = 21x + -21x Combine like terms: -2x + -21x = -23x -2 + -23x = 21x + -21x Combine like terms: 21x + -21x = 0 -2 + -23x = 0 Add '2' to each side of the equation. -2 + 2 + -23x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -23x = 0 + 2 -23x = 0 + 2 Combine like terms: 0 + 2 = 2 -23x = 2 Divide each side by '-23'. x = -0.08695652174 Simplifying x = -0.08695652174
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