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Simplifying -10x + 6 = 5x + -9 Reorder the terms: 6 + -10x = 5x + -9 Reorder the terms: 6 + -10x = -9 + 5x Solving 6 + -10x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -10x + -5x = -9 + 5x + -5x Combine like terms: -10x + -5x = -15x 6 + -15x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -15x = -9 + 0 6 + -15x = -9 Add '-6' to each side of the equation. 6 + -6 + -15x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -9 + -6 -15x = -9 + -6 Combine like terms: -9 + -6 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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