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Simplifying 5(x + 7) = 7x + 27 Reorder the terms: 5(7 + x) = 7x + 27 (7 * 5 + x * 5) = 7x + 27 (35 + 5x) = 7x + 27 Reorder the terms: 35 + 5x = 27 + 7x Solving 35 + 5x = 27 + 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. 35 + 5x + -7x = 27 + 7x + -7x Combine like terms: 5x + -7x = -2x 35 + -2x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -2x = 27 + 0 35 + -2x = 27 Add '-35' to each side of the equation. 35 + -35 + -2x = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 27 + -35 -2x = 27 + -35 Combine like terms: 27 + -35 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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