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Simplifying 3 + 5(x + 6) = 27 + 7x Reorder the terms: 3 + 5(6 + x) = 27 + 7x 3 + (6 * 5 + x * 5) = 27 + 7x 3 + (30 + 5x) = 27 + 7x Combine like terms: 3 + 30 = 33 33 + 5x = 27 + 7x Solving 33 + 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. 33 + 5x + -7x = 27 + 7x + -7x Combine like terms: 5x + -7x = -2x 33 + -2x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 33 + -2x = 27 + 0 33 + -2x = 27 Add '-33' to each side of the equation. 33 + -33 + -2x = 27 + -33 Combine like terms: 33 + -33 = 0 0 + -2x = 27 + -33 -2x = 27 + -33 Combine like terms: 27 + -33 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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