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Simplifying 4(3x + 4) = x + 38 Reorder the terms: 4(4 + 3x) = x + 38 (4 * 4 + 3x * 4) = x + 38 (16 + 12x) = x + 38 Reorder the terms: 16 + 12x = 38 + x Solving 16 + 12x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + 12x + -1x = 38 + x + -1x Combine like terms: 12x + -1x = 11x 16 + 11x = 38 + x + -1x Combine like terms: x + -1x = 0 16 + 11x = 38 + 0 16 + 11x = 38 Add '-16' to each side of the equation. 16 + -16 + 11x = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = 38 + -16 11x = 38 + -16 Combine like terms: 38 + -16 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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