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Simplifying -8(x + 6) + 1 = -2(x + 2) Reorder the terms: -8(6 + x) + 1 = -2(x + 2) (6 * -8 + x * -8) + 1 = -2(x + 2) (-48 + -8x) + 1 = -2(x + 2) Reorder the terms: -48 + 1 + -8x = -2(x + 2) Combine like terms: -48 + 1 = -47 -47 + -8x = -2(x + 2) Reorder the terms: -47 + -8x = -2(2 + x) -47 + -8x = (2 * -2 + x * -2) -47 + -8x = (-4 + -2x) Solving -47 + -8x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -47 + -8x + 2x = -4 + -2x + 2x Combine like terms: -8x + 2x = -6x -47 + -6x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -47 + -6x = -4 + 0 -47 + -6x = -4 Add '47' to each side of the equation. -47 + 47 + -6x = -4 + 47 Combine like terms: -47 + 47 = 0 0 + -6x = -4 + 47 -6x = -4 + 47 Combine like terms: -4 + 47 = 43 -6x = 43 Divide each side by '-6'. x = -7.166666667 Simplifying x = -7.166666667
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