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Simplifying 5(4 + x) = 7x + 2 (4 * 5 + x * 5) = 7x + 2 (20 + 5x) = 7x + 2 Reorder the terms: 20 + 5x = 2 + 7x Solving 20 + 5x = 2 + 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. 20 + 5x + -7x = 2 + 7x + -7x Combine like terms: 5x + -7x = -2x 20 + -2x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -2x = 2 + 0 20 + -2x = 2 Add '-20' to each side of the equation. 20 + -20 + -2x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 2 + -20 -2x = 2 + -20 Combine like terms: 2 + -20 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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