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Simplifying 5(x + 6) = 6 + -2x + 3 Reorder the terms: 5(6 + x) = 6 + -2x + 3 (6 * 5 + x * 5) = 6 + -2x + 3 (30 + 5x) = 6 + -2x + 3 Reorder the terms: 30 + 5x = 6 + 3 + -2x Combine like terms: 6 + 3 = 9 30 + 5x = 9 + -2x Solving 30 + 5x = 9 + -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 = 9 + -2x + 2x Combine like terms: 5x + 2x = 7x 30 + 7x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 7x = 9 + 0 30 + 7x = 9 Add '-30' to each side of the equation. 30 + -30 + 7x = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 9 + -30 7x = 9 + -30 Combine like terms: 9 + -30 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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