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Simplifying (x + 10) + -1(3x + 12) = 7x + 12(11 + -4x) Reorder the terms: (10 + x) + -1(3x + 12) = 7x + 12(11 + -4x) Remove parenthesis around (10 + x) 10 + x + -1(3x + 12) = 7x + 12(11 + -4x) Reorder the terms: 10 + x + -1(12 + 3x) = 7x + 12(11 + -4x) 10 + x + (12 * -1 + 3x * -1) = 7x + 12(11 + -4x) 10 + x + (-12 + -3x) = 7x + 12(11 + -4x) Reorder the terms: 10 + -12 + x + -3x = 7x + 12(11 + -4x) Combine like terms: 10 + -12 = -2 -2 + x + -3x = 7x + 12(11 + -4x) Combine like terms: x + -3x = -2x -2 + -2x = 7x + 12(11 + -4x) -2 + -2x = 7x + (11 * 12 + -4x * 12) -2 + -2x = 7x + (132 + -48x) Reorder the terms: -2 + -2x = 132 + 7x + -48x Combine like terms: 7x + -48x = -41x -2 + -2x = 132 + -41x Solving -2 + -2x = 132 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -2 + -2x + 41x = 132 + -41x + 41x Combine like terms: -2x + 41x = 39x -2 + 39x = 132 + -41x + 41x Combine like terms: -41x + 41x = 0 -2 + 39x = 132 + 0 -2 + 39x = 132 Add '2' to each side of the equation. -2 + 2 + 39x = 132 + 2 Combine like terms: -2 + 2 = 0 0 + 39x = 132 + 2 39x = 132 + 2 Combine like terms: 132 + 2 = 134 39x = 134 Divide each side by '39'. x = 3.435897436 Simplifying x = 3.435897436
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