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Simplifying -3 + -1(8x + -4) = 3(x + 2) + 7 Reorder the terms: -3 + -1(-4 + 8x) = 3(x + 2) + 7 -3 + (-4 * -1 + 8x * -1) = 3(x + 2) + 7 -3 + (4 + -8x) = 3(x + 2) + 7 Combine like terms: -3 + 4 = 1 1 + -8x = 3(x + 2) + 7 Reorder the terms: 1 + -8x = 3(2 + x) + 7 1 + -8x = (2 * 3 + x * 3) + 7 1 + -8x = (6 + 3x) + 7 Reorder the terms: 1 + -8x = 6 + 7 + 3x Combine like terms: 6 + 7 = 13 1 + -8x = 13 + 3x Solving 1 + -8x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + -8x + -3x = 13 + 3x + -3x Combine like terms: -8x + -3x = -11x 1 + -11x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -11x = 13 + 0 1 + -11x = 13 Add '-1' to each side of the equation. 1 + -1 + -11x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 13 + -1 -11x = 13 + -1 Combine like terms: 13 + -1 = 12 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091
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