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Simplifying 5x + 10 = 9x + 6 Reorder the terms: 10 + 5x = 9x + 6 Reorder the terms: 10 + 5x = 6 + 9x Solving 10 + 5x = 6 + 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. 10 + 5x + -9x = 6 + 9x + -9x Combine like terms: 5x + -9x = -4x 10 + -4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -4x = 6 + 0 10 + -4x = 6 Add '-10' to each side of the equation. 10 + -10 + -4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 6 + -10 -4x = 6 + -10 Combine like terms: 6 + -10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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