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Simplifying 3(4x + -2) + 5 = 4x + -1 Reorder the terms: 3(-2 + 4x) + 5 = 4x + -1 (-2 * 3 + 4x * 3) + 5 = 4x + -1 (-6 + 12x) + 5 = 4x + -1 Reorder the terms: -6 + 5 + 12x = 4x + -1 Combine like terms: -6 + 5 = -1 -1 + 12x = 4x + -1 Reorder the terms: -1 + 12x = -1 + 4x Add '1' to each side of the equation. -1 + 1 + 12x = -1 + 1 + 4x Combine like terms: -1 + 1 = 0 0 + 12x = -1 + 1 + 4x 12x = -1 + 1 + 4x Combine like terms: -1 + 1 = 0 12x = 0 + 4x 12x = 4x Solving 12x = 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. 12x + -4x = 4x + -4x Combine like terms: 12x + -4x = 8x 8x = 4x + -4x Combine like terms: 4x + -4x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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