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Simplifying 5(x + 7) = 9x + 20 Reorder the terms: 5(7 + x) = 9x + 20 (7 * 5 + x * 5) = 9x + 20 (35 + 5x) = 9x + 20 Reorder the terms: 35 + 5x = 20 + 9x Solving 35 + 5x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 5x + -9x = 20 + 9x + -9x Combine like terms: 5x + -9x = -4x 35 + -4x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -4x = 20 + 0 35 + -4x = 20 Add '-35' to each side of the equation. 35 + -35 + -4x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 20 + -35 -4x = 20 + -35 Combine like terms: 20 + -35 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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