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Simplifying -3(x + 4) + 7(2x + -1) = 2 Reorder the terms: -3(4 + x) + 7(2x + -1) = 2 (4 * -3 + x * -3) + 7(2x + -1) = 2 (-12 + -3x) + 7(2x + -1) = 2 Reorder the terms: -12 + -3x + 7(-1 + 2x) = 2 -12 + -3x + (-1 * 7 + 2x * 7) = 2 -12 + -3x + (-7 + 14x) = 2 Reorder the terms: -12 + -7 + -3x + 14x = 2 Combine like terms: -12 + -7 = -19 -19 + -3x + 14x = 2 Combine like terms: -3x + 14x = 11x -19 + 11x = 2 Solving -19 + 11x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 11x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 11x = 2 + 19 11x = 2 + 19 Combine like terms: 2 + 19 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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