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Simplifying 5(x + 8) + -7 = -1(2x + 4) Reorder the terms: 5(8 + x) + -7 = -1(2x + 4) (8 * 5 + x * 5) + -7 = -1(2x + 4) (40 + 5x) + -7 = -1(2x + 4) Reorder the terms: 40 + -7 + 5x = -1(2x + 4) Combine like terms: 40 + -7 = 33 33 + 5x = -1(2x + 4) Reorder the terms: 33 + 5x = -1(4 + 2x) 33 + 5x = (4 * -1 + 2x * -1) 33 + 5x = (-4 + -2x) Solving 33 + 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. 33 + 5x + 2x = -4 + -2x + 2x Combine like terms: 5x + 2x = 7x 33 + 7x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 33 + 7x = -4 + 0 33 + 7x = -4 Add '-33' to each side of the equation. 33 + -33 + 7x = -4 + -33 Combine like terms: 33 + -33 = 0 0 + 7x = -4 + -33 7x = -4 + -33 Combine like terms: -4 + -33 = -37 7x = -37 Divide each side by '7'. x = -5.285714286 Simplifying x = -5.285714286
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