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Simplifying -2(8 + x) + -7(1 + -6x) = -63 (8 * -2 + x * -2) + -7(1 + -6x) = -63 (-16 + -2x) + -7(1 + -6x) = -63 -16 + -2x + (1 * -7 + -6x * -7) = -63 -16 + -2x + (-7 + 42x) = -63 Reorder the terms: -16 + -7 + -2x + 42x = -63 Combine like terms: -16 + -7 = -23 -23 + -2x + 42x = -63 Combine like terms: -2x + 42x = 40x -23 + 40x = -63 Solving -23 + 40x = -63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 40x = -63 + 23 Combine like terms: -23 + 23 = 0 0 + 40x = -63 + 23 40x = -63 + 23 Combine like terms: -63 + 23 = -40 40x = -40 Divide each side by '40'. x = -1 Simplifying x = -1
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