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Simplifying -1(5x + -14) + 3(3x + 8) = 0 Reorder the terms: -1(-14 + 5x) + 3(3x + 8) = 0 (-14 * -1 + 5x * -1) + 3(3x + 8) = 0 (14 + -5x) + 3(3x + 8) = 0 Reorder the terms: 14 + -5x + 3(8 + 3x) = 0 14 + -5x + (8 * 3 + 3x * 3) = 0 14 + -5x + (24 + 9x) = 0 Reorder the terms: 14 + 24 + -5x + 9x = 0 Combine like terms: 14 + 24 = 38 38 + -5x + 9x = 0 Combine like terms: -5x + 9x = 4x 38 + 4x = 0 Solving 38 + 4x = 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 + 4x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 0 + -38 4x = 0 + -38 Combine like terms: 0 + -38 = -38 4x = -38 Divide each side by '4'. x = -9.5 Simplifying x = -9.5
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