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Simplifying 5(x + 6) = 8 + -2(x + 4) Reorder the terms: 5(6 + x) = 8 + -2(x + 4) (6 * 5 + x * 5) = 8 + -2(x + 4) (30 + 5x) = 8 + -2(x + 4) Reorder the terms: 30 + 5x = 8 + -2(4 + x) 30 + 5x = 8 + (4 * -2 + x * -2) 30 + 5x = 8 + (-8 + -2x) Combine like terms: 8 + -8 = 0 30 + 5x = 0 + -2x 30 + 5x = -2x Solving 30 + 5x = -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. 30 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 30 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 30 + 7x = 0 Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286
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