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Simplifying 14 + -4x = 1 + -3(1 + 4x) 14 + -4x = 1 + (1 * -3 + 4x * -3) 14 + -4x = 1 + (-3 + -12x) Combine like terms: 1 + -3 = -2 14 + -4x = -2 + -12x Solving 14 + -4x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 14 + -4x + 12x = -2 + -12x + 12x Combine like terms: -4x + 12x = 8x 14 + 8x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 8x = -2 + 0 14 + 8x = -2 Add '-14' to each side of the equation. 14 + -14 + 8x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -2 + -14 8x = -2 + -14 Combine like terms: -2 + -14 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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