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Simplifying -3(-4 + -6x) + 7(-1x + 5) = 8 (-4 * -3 + -6x * -3) + 7(-1x + 5) = 8 (12 + 18x) + 7(-1x + 5) = 8 Reorder the terms: 12 + 18x + 7(5 + -1x) = 8 12 + 18x + (5 * 7 + -1x * 7) = 8 12 + 18x + (35 + -7x) = 8 Reorder the terms: 12 + 35 + 18x + -7x = 8 Combine like terms: 12 + 35 = 47 47 + 18x + -7x = 8 Combine like terms: 18x + -7x = 11x 47 + 11x = 8 Solving 47 + 11x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 11x = 8 + -47 Combine like terms: 47 + -47 = 0 0 + 11x = 8 + -47 11x = 8 + -47 Combine like terms: 8 + -47 = -39 11x = -39 Divide each side by '11'. x = -3.545454545 Simplifying x = -3.545454545
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