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Simplifying x + 8(1 + -6x) = -180 x + (1 * 8 + -6x * 8) = -180 x + (8 + -48x) = -180 Reorder the terms: 8 + x + -48x = -180 Combine like terms: x + -48x = -47x 8 + -47x = -180 Solving 8 + -47x = -180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -47x = -180 + -8 Combine like terms: 8 + -8 = 0 0 + -47x = -180 + -8 -47x = -180 + -8 Combine like terms: -180 + -8 = -188 -47x = -188 Divide each side by '-47'. x = 4 Simplifying x = 4
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