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