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Simplifying x(7) + 30(4) = (30 + x)(5) Reorder the terms for easier multiplication: 7x + 30(4) = (30 + x)(5) Multiply 30 * 4 7x + 120 = (30 + x)(5) Reorder the terms: 120 + 7x = (30 + x)(5) Reorder the terms for easier multiplication: 120 + 7x = 5(30 + x) 120 + 7x = (30 * 5 + x * 5) 120 + 7x = (150 + 5x) Solving 120 + 7x = 150 + 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. 120 + 7x + -5x = 150 + 5x + -5x Combine like terms: 7x + -5x = 2x 120 + 2x = 150 + 5x + -5x Combine like terms: 5x + -5x = 0 120 + 2x = 150 + 0 120 + 2x = 150 Add '-120' to each side of the equation. 120 + -120 + 2x = 150 + -120 Combine like terms: 120 + -120 = 0 0 + 2x = 150 + -120 2x = 150 + -120 Combine like terms: 150 + -120 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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