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Simplifying 10x + -8 + 14x + -5 = 6 + -9x + -5 Reorder the terms: -8 + -5 + 10x + 14x = 6 + -9x + -5 Combine like terms: -8 + -5 = -13 -13 + 10x + 14x = 6 + -9x + -5 Combine like terms: 10x + 14x = 24x -13 + 24x = 6 + -9x + -5 Reorder the terms: -13 + 24x = 6 + -5 + -9x Combine like terms: 6 + -5 = 1 -13 + 24x = 1 + -9x Solving -13 + 24x = 1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -13 + 24x + 9x = 1 + -9x + 9x Combine like terms: 24x + 9x = 33x -13 + 33x = 1 + -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 33x = 1 + 0 -13 + 33x = 1 Add '13' to each side of the equation. -13 + 13 + 33x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 33x = 1 + 13 33x = 1 + 13 Combine like terms: 1 + 13 = 14 33x = 14 Divide each side by '33'. x = 0.4242424242 Simplifying x = 0.4242424242
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