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Simplifying 14(2 + -1(3 + 4x)) = 9 + -3x 14(2 + (3 * -1 + 4x * -1)) = 9 + -3x 14(2 + (-3 + -4x)) = 9 + -3x Combine like terms: 2 + -3 = -1 14(-1 + -4x) = 9 + -3x (-1 * 14 + -4x * 14) = 9 + -3x (-14 + -56x) = 9 + -3x Solving -14 + -56x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + -56x + 3x = 9 + -3x + 3x Combine like terms: -56x + 3x = -53x -14 + -53x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -53x = 9 + 0 -14 + -53x = 9 Add '14' to each side of the equation. -14 + 14 + -53x = 9 + 14 Combine like terms: -14 + 14 = 0 0 + -53x = 9 + 14 -53x = 9 + 14 Combine like terms: 9 + 14 = 23 -53x = 23 Divide each side by '-53'. x = -0.4339622642 Simplifying x = -0.4339622642
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