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Simplifying -1(3x + -14) + 4(4x + 6) = 0 Reorder the terms: -1(-14 + 3x) + 4(4x + 6) = 0 (-14 * -1 + 3x * -1) + 4(4x + 6) = 0 (14 + -3x) + 4(4x + 6) = 0 Reorder the terms: 14 + -3x + 4(6 + 4x) = 0 14 + -3x + (6 * 4 + 4x * 4) = 0 14 + -3x + (24 + 16x) = 0 Reorder the terms: 14 + 24 + -3x + 16x = 0 Combine like terms: 14 + 24 = 38 38 + -3x + 16x = 0 Combine like terms: -3x + 16x = 13x 38 + 13x = 0 Solving 38 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 13x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 13x = 0 + -38 13x = 0 + -38 Combine like terms: 0 + -38 = -38 13x = -38 Divide each side by '13'. x = -2.923076923 Simplifying x = -2.923076923
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