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Simplifying -2(x + 7) + -1(1 + 6x) = 49 Reorder the terms: -2(7 + x) + -1(1 + 6x) = 49 (7 * -2 + x * -2) + -1(1 + 6x) = 49 (-14 + -2x) + -1(1 + 6x) = 49 -14 + -2x + (1 * -1 + 6x * -1) = 49 -14 + -2x + (-1 + -6x) = 49 Reorder the terms: -14 + -1 + -2x + -6x = 49 Combine like terms: -14 + -1 = -15 -15 + -2x + -6x = 49 Combine like terms: -2x + -6x = -8x -15 + -8x = 49 Solving -15 + -8x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -8x = 49 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 49 + 15 -8x = 49 + 15 Combine like terms: 49 + 15 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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