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Simplifying 2 + 1 + -1(3x + 4) + -1(-1x + -1x) = 12 Reorder the terms: 2 + 1 + -1(4 + 3x) + -1(-1x + -1x) = 12 2 + 1 + (4 * -1 + 3x * -1) + -1(-1x + -1x) = 12 2 + 1 + (-4 + -3x) + -1(-1x + -1x) = 12 Combine like terms: -1x + -1x = -2x 2 + 1 + -4 + -3x + -1(-2x) = 12 Remove parenthesis around (-2x) 2 + 1 + -4 + -3x + -1 * -2x = 12 Multiply -1 * -2 2 + 1 + -4 + -3x + 2x = 12 Combine like terms: 2 + 1 = 3 3 + -4 + -3x + 2x = 12 Combine like terms: 3 + -4 = -1 -1 + -3x + 2x = 12 Combine like terms: -3x + 2x = -1x -1 + -1x = 12 Solving -1 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 12 + 1 -1x = 12 + 1 Combine like terms: 12 + 1 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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