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Simplifying 3(4x + -1) + 14 = 7x + -4 Reorder the terms: 3(-1 + 4x) + 14 = 7x + -4 (-1 * 3 + 4x * 3) + 14 = 7x + -4 (-3 + 12x) + 14 = 7x + -4 Reorder the terms: -3 + 14 + 12x = 7x + -4 Combine like terms: -3 + 14 = 11 11 + 12x = 7x + -4 Reorder the terms: 11 + 12x = -4 + 7x Solving 11 + 12x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 12x + -7x = -4 + 7x + -7x Combine like terms: 12x + -7x = 5x 11 + 5x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 5x = -4 + 0 11 + 5x = -4 Add '-11' to each side of the equation. 11 + -11 + 5x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = -4 + -11 5x = -4 + -11 Combine like terms: -4 + -11 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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