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Simplifying 7(5 + -1x) + -3(-4 + -6x) = -8 (5 * 7 + -1x * 7) + -3(-4 + -6x) = -8 (35 + -7x) + -3(-4 + -6x) = -8 35 + -7x + (-4 * -3 + -6x * -3) = -8 35 + -7x + (12 + 18x) = -8 Reorder the terms: 35 + 12 + -7x + 18x = -8 Combine like terms: 35 + 12 = 47 47 + -7x + 18x = -8 Combine like terms: -7x + 18x = 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 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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