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Simplifying 7(x + 3) + -3(4x + 9) = 14 Reorder the terms: 7(3 + x) + -3(4x + 9) = 14 (3 * 7 + x * 7) + -3(4x + 9) = 14 (21 + 7x) + -3(4x + 9) = 14 Reorder the terms: 21 + 7x + -3(9 + 4x) = 14 21 + 7x + (9 * -3 + 4x * -3) = 14 21 + 7x + (-27 + -12x) = 14 Reorder the terms: 21 + -27 + 7x + -12x = 14 Combine like terms: 21 + -27 = -6 -6 + 7x + -12x = 14 Combine like terms: 7x + -12x = -5x -6 + -5x = 14 Solving -6 + -5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 14 + 6 -5x = 14 + 6 Combine like terms: 14 + 6 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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