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Simplifying -3(-5x + 8) + -1(7x + 6) + -3x + 14 = 0 Reorder the terms: -3(8 + -5x) + -1(7x + 6) + -3x + 14 = 0 (8 * -3 + -5x * -3) + -1(7x + 6) + -3x + 14 = 0 (-24 + 15x) + -1(7x + 6) + -3x + 14 = 0 Reorder the terms: -24 + 15x + -1(6 + 7x) + -3x + 14 = 0 -24 + 15x + (6 * -1 + 7x * -1) + -3x + 14 = 0 -24 + 15x + (-6 + -7x) + -3x + 14 = 0 Reorder the terms: -24 + -6 + 14 + 15x + -7x + -3x = 0 Combine like terms: -24 + -6 = -30 -30 + 14 + 15x + -7x + -3x = 0 Combine like terms: -30 + 14 = -16 -16 + 15x + -7x + -3x = 0 Combine like terms: 15x + -7x = 8x -16 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x -16 + 5x = 0 Solving -16 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 0 + 16 5x = 0 + 16 Combine like terms: 0 + 16 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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