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Simplifying 3(4x + -1) + 5 = 6x + -4 Reorder the terms: 3(-1 + 4x) + 5 = 6x + -4 (-1 * 3 + 4x * 3) + 5 = 6x + -4 (-3 + 12x) + 5 = 6x + -4 Reorder the terms: -3 + 5 + 12x = 6x + -4 Combine like terms: -3 + 5 = 2 2 + 12x = 6x + -4 Reorder the terms: 2 + 12x = -4 + 6x Solving 2 + 12x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 12x + -6x = -4 + 6x + -6x Combine like terms: 12x + -6x = 6x 2 + 6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 6x = -4 + 0 2 + 6x = -4 Add '-2' to each side of the equation. 2 + -2 + 6x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -4 + -2 6x = -4 + -2 Combine like terms: -4 + -2 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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