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Simplifying 3(x + 5) + 12 = 4(x + 4) Reorder the terms: 3(5 + x) + 12 = 4(x + 4) (5 * 3 + x * 3) + 12 = 4(x + 4) (15 + 3x) + 12 = 4(x + 4) Reorder the terms: 15 + 12 + 3x = 4(x + 4) Combine like terms: 15 + 12 = 27 27 + 3x = 4(x + 4) Reorder the terms: 27 + 3x = 4(4 + x) 27 + 3x = (4 * 4 + x * 4) 27 + 3x = (16 + 4x) Solving 27 + 3x = 16 + 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 = 16 + 4x + -4x Combine like terms: 3x + -4x = -1x 27 + -1x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -1x = 16 + 0 27 + -1x = 16 Add '-27' to each side of the equation. 27 + -27 + -1x = 16 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 16 + -27 -1x = 16 + -27 Combine like terms: 16 + -27 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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