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Simplifying 5(x + 20) = 7x + 30 Reorder the terms: 5(20 + x) = 7x + 30 (20 * 5 + x * 5) = 7x + 30 (100 + 5x) = 7x + 30 Reorder the terms: 100 + 5x = 30 + 7x Solving 100 + 5x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 100 + 5x + -7x = 30 + 7x + -7x Combine like terms: 5x + -7x = -2x 100 + -2x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 100 + -2x = 30 + 0 100 + -2x = 30 Add '-100' to each side of the equation. 100 + -100 + -2x = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = 30 + -100 -2x = 30 + -100 Combine like terms: 30 + -100 = -70 -2x = -70 Divide each side by '-2'. x = 35 Simplifying x = 35
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