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Simplifying 3(x + 3) = 7(x + 27) Reorder the terms: 3(3 + x) = 7(x + 27) (3 * 3 + x * 3) = 7(x + 27) (9 + 3x) = 7(x + 27) Reorder the terms: 9 + 3x = 7(27 + x) 9 + 3x = (27 * 7 + x * 7) 9 + 3x = (189 + 7x) Solving 9 + 3x = 189 + 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. 9 + 3x + -7x = 189 + 7x + -7x Combine like terms: 3x + -7x = -4x 9 + -4x = 189 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -4x = 189 + 0 9 + -4x = 189 Add '-9' to each side of the equation. 9 + -9 + -4x = 189 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 189 + -9 -4x = 189 + -9 Combine like terms: 189 + -9 = 180 -4x = 180 Divide each side by '-4'. x = -45 Simplifying x = -45
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