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Simplifying 5(x + 8) = -1(x + 2) Reorder the terms: 5(8 + x) = -1(x + 2) (8 * 5 + x * 5) = -1(x + 2) (40 + 5x) = -1(x + 2) Reorder the terms: 40 + 5x = -1(2 + x) 40 + 5x = (2 * -1 + x * -1) 40 + 5x = (-2 + -1x) Solving 40 + 5x = -2 + -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 = -2 + -1x + x Combine like terms: 5x + x = 6x 40 + 6x = -2 + -1x + x Combine like terms: -1x + x = 0 40 + 6x = -2 + 0 40 + 6x = -2 Add '-40' to each side of the equation. 40 + -40 + 6x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = -2 + -40 6x = -2 + -40 Combine like terms: -2 + -40 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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