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Simplifying 5(8 + 7) = 5x + 5 * 7 Combine like terms: 8 + 7 = 15 5(15) = 5x + 5 * 7 Multiply 5 * 15 75 = 5x + 5 * 7 Multiply 5 * 7 75 = 5x + 35 Reorder the terms: 75 = 35 + 5x Solving 75 = 35 + 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. 75 + -5x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 75 + -5x = 35 + 0 75 + -5x = 35 Add '-75' to each side of the equation. 75 + -75 + -5x = 35 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = 35 + -75 -5x = 35 + -75 Combine like terms: 35 + -75 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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