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Simplifying 5(3x + 6) = x + 2 Reorder the terms: 5(6 + 3x) = x + 2 (6 * 5 + 3x * 5) = x + 2 (30 + 15x) = x + 2 Reorder the terms: 30 + 15x = 2 + x Solving 30 + 15x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 15x + -1x = 2 + x + -1x Combine like terms: 15x + -1x = 14x 30 + 14x = 2 + x + -1x Combine like terms: x + -1x = 0 30 + 14x = 2 + 0 30 + 14x = 2 Add '-30' to each side of the equation. 30 + -30 + 14x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 2 + -30 14x = 2 + -30 Combine like terms: 2 + -30 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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