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Simplifying 5(x + 6) = 20 + -2(x + 3) Reorder the terms: 5(6 + x) = 20 + -2(x + 3) (6 * 5 + x * 5) = 20 + -2(x + 3) (30 + 5x) = 20 + -2(x + 3) Reorder the terms: 30 + 5x = 20 + -2(3 + x) 30 + 5x = 20 + (3 * -2 + x * -2) 30 + 5x = 20 + (-6 + -2x) Combine like terms: 20 + -6 = 14 30 + 5x = 14 + -2x Solving 30 + 5x = 14 + -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 = 14 + -2x + 2x Combine like terms: 5x + 2x = 7x 30 + 7x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 7x = 14 + 0 30 + 7x = 14 Add '-30' to each side of the equation. 30 + -30 + 7x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 14 + -30 7x = 14 + -30 Combine like terms: 14 + -30 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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