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Simplifying 14x + -1(4x + 12) + -11x + -1(3 + -4x) = 0 Reorder the terms: 14x + -1(12 + 4x) + -11x + -1(3 + -4x) = 0 14x + (12 * -1 + 4x * -1) + -11x + -1(3 + -4x) = 0 14x + (-12 + -4x) + -11x + -1(3 + -4x) = 0 14x + -12 + -4x + -11x + (3 * -1 + -4x * -1) = 0 14x + -12 + -4x + -11x + (-3 + 4x) = 0 Reorder the terms: -12 + -3 + 14x + -4x + -11x + 4x = 0 Combine like terms: -12 + -3 = -15 -15 + 14x + -4x + -11x + 4x = 0 Combine like terms: 14x + -4x = 10x -15 + 10x + -11x + 4x = 0 Combine like terms: 10x + -11x = -1x -15 + -1x + 4x = 0 Combine like terms: -1x + 4x = 3x -15 + 3x = 0 Solving -15 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 0 + 15 3x = 0 + 15 Combine like terms: 0 + 15 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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