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Simplifying -5(-1x + -8) = 2(2 + 2x) + -5x Reorder the terms: -5(-8 + -1x) = 2(2 + 2x) + -5x (-8 * -5 + -1x * -5) = 2(2 + 2x) + -5x (40 + 5x) = 2(2 + 2x) + -5x 40 + 5x = (2 * 2 + 2x * 2) + -5x 40 + 5x = (4 + 4x) + -5x Combine like terms: 4x + -5x = -1x 40 + 5x = 4 + -1x Solving 40 + 5x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + 5x + x = 4 + -1x + x Combine like terms: 5x + x = 6x 40 + 6x = 4 + -1x + x Combine like terms: -1x + x = 0 40 + 6x = 4 + 0 40 + 6x = 4 Add '-40' to each side of the equation. 40 + -40 + 6x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = 4 + -40 6x = 4 + -40 Combine like terms: 4 + -40 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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