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Simplifying 10x + -8 + 14x + -5 = 6 + -9x + -5x Reorder the terms: -8 + -5 + 10x + 14x = 6 + -9x + -5x Combine like terms: -8 + -5 = -13 -13 + 10x + 14x = 6 + -9x + -5x Combine like terms: 10x + 14x = 24x -13 + 24x = 6 + -9x + -5x Combine like terms: -9x + -5x = -14x -13 + 24x = 6 + -14x Solving -13 + 24x = 6 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -13 + 24x + 14x = 6 + -14x + 14x Combine like terms: 24x + 14x = 38x -13 + 38x = 6 + -14x + 14x Combine like terms: -14x + 14x = 0 -13 + 38x = 6 + 0 -13 + 38x = 6 Add '13' to each side of the equation. -13 + 13 + 38x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 38x = 6 + 13 38x = 6 + 13 Combine like terms: 6 + 13 = 19 38x = 19 Divide each side by '38'. x = 0.5 Simplifying x = 0.5
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