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Simplifying 3(4x + -5) = 4x + 1 Reorder the terms: 3(-5 + 4x) = 4x + 1 (-5 * 3 + 4x * 3) = 4x + 1 (-15 + 12x) = 4x + 1 Reorder the terms: -15 + 12x = 1 + 4x Solving -15 + 12x = 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. -15 + 12x + -4x = 1 + 4x + -4x Combine like terms: 12x + -4x = 8x -15 + 8x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 8x = 1 + 0 -15 + 8x = 1 Add '15' to each side of the equation. -15 + 15 + 8x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 1 + 15 8x = 1 + 15 Combine like terms: 1 + 15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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