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Simplifying 5(x + 8) = -1(2x + -4) Reorder the terms: 5(8 + x) = -1(2x + -4) (8 * 5 + x * 5) = -1(2x + -4) (40 + 5x) = -1(2x + -4) Reorder the terms: 40 + 5x = -1(-4 + 2x) 40 + 5x = (-4 * -1 + 2x * -1) 40 + 5x = (4 + -2x) Solving 40 + 5x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 40 + 5x + 2x = 4 + -2x + 2x Combine like terms: 5x + 2x = 7x 40 + 7x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + 7x = 4 + 0 40 + 7x = 4 Add '-40' to each side of the equation. 40 + -40 + 7x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 4 + -40 7x = 4 + -40 Combine like terms: 4 + -40 = -36 7x = -36 Divide each side by '7'. x = -5.142857143 Simplifying x = -5.142857143
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