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Simplifying 5(x + 12) = 5(19) + 5(12) Reorder the terms: 5(12 + x) = 5(19) + 5(12) (12 * 5 + x * 5) = 5(19) + 5(12) (60 + 5x) = 5(19) + 5(12) Multiply 5 * 19 60 + 5x = 95 + 5(12) Multiply 5 * 12 60 + 5x = 95 + 60 Combine like terms: 95 + 60 = 155 60 + 5x = 155 Solving 60 + 5x = 155 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 5x = 155 + -60 Combine like terms: 60 + -60 = 0 0 + 5x = 155 + -60 5x = 155 + -60 Combine like terms: 155 + -60 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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