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Simplifying 2(x + 3) = 5(10 + -1x) Reorder the terms: 2(3 + x) = 5(10 + -1x) (3 * 2 + x * 2) = 5(10 + -1x) (6 + 2x) = 5(10 + -1x) 6 + 2x = (10 * 5 + -1x * 5) 6 + 2x = (50 + -5x) Solving 6 + 2x = 50 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 2x + 5x = 50 + -5x + 5x Combine like terms: 2x + 5x = 7x 6 + 7x = 50 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 7x = 50 + 0 6 + 7x = 50 Add '-6' to each side of the equation. 6 + -6 + 7x = 50 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 50 + -6 7x = 50 + -6 Combine like terms: 50 + -6 = 44 7x = 44 Divide each side by '7'. x = 6.285714286 Simplifying x = 6.285714286
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