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Simplifying 2(x + 3) = 5(6 + -1x) + 7 Reorder the terms: 2(3 + x) = 5(6 + -1x) + 7 (3 * 2 + x * 2) = 5(6 + -1x) + 7 (6 + 2x) = 5(6 + -1x) + 7 6 + 2x = (6 * 5 + -1x * 5) + 7 6 + 2x = (30 + -5x) + 7 Reorder the terms: 6 + 2x = 30 + 7 + -5x Combine like terms: 30 + 7 = 37 6 + 2x = 37 + -5x Solving 6 + 2x = 37 + -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 = 37 + -5x + 5x Combine like terms: 2x + 5x = 7x 6 + 7x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 7x = 37 + 0 6 + 7x = 37 Add '-6' to each side of the equation. 6 + -6 + 7x = 37 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 37 + -6 7x = 37 + -6 Combine like terms: 37 + -6 = 31 7x = 31 Divide each side by '7'. x = 4.428571429 Simplifying x = 4.428571429
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