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Simplifying 5(3x + 2) = 14x + 5 Reorder the terms: 5(2 + 3x) = 14x + 5 (2 * 5 + 3x * 5) = 14x + 5 (10 + 15x) = 14x + 5 Reorder the terms: 10 + 15x = 5 + 14x Solving 10 + 15x = 5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 15x + -14x = 5 + 14x + -14x Combine like terms: 15x + -14x = 1x 10 + 1x = 5 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + 1x = 5 + 0 10 + 1x = 5 Add '-10' to each side of the equation. 10 + -10 + 1x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 5 + -10 1x = 5 + -10 Combine like terms: 5 + -10 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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