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