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Simplifying 3(x + 9) = 4(x + 3) Reorder the terms: 3(9 + x) = 4(x + 3) (9 * 3 + x * 3) = 4(x + 3) (27 + 3x) = 4(x + 3) Reorder the terms: 27 + 3x = 4(3 + x) 27 + 3x = (3 * 4 + x * 4) 27 + 3x = (12 + 4x) Solving 27 + 3x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x 27 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -1x = 12 + 0 27 + -1x = 12 Add '-27' to each side of the equation. 27 + -27 + -1x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 12 + -27 -1x = 12 + -27 Combine like terms: 12 + -27 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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