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Simplifying -5(-1x + -8) = 34 + 7x Reorder the terms: -5(-8 + -1x) = 34 + 7x (-8 * -5 + -1x * -5) = 34 + 7x (40 + 5x) = 34 + 7x Solving 40 + 5x = 34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + 5x + -7x = 34 + 7x + -7x Combine like terms: 5x + -7x = -2x 40 + -2x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -2x = 34 + 0 40 + -2x = 34 Add '-40' to each side of the equation. 40 + -40 + -2x = 34 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 34 + -40 -2x = 34 + -40 Combine like terms: 34 + -40 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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