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Simplifying 9x + 10 + -4x = 7 + 4x + 10 Reorder the terms: 10 + 9x + -4x = 7 + 4x + 10 Combine like terms: 9x + -4x = 5x 10 + 5x = 7 + 4x + 10 Reorder the terms: 10 + 5x = 7 + 10 + 4x Combine like terms: 7 + 10 = 17 10 + 5x = 17 + 4x Solving 10 + 5x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 5x + -4x = 17 + 4x + -4x Combine like terms: 5x + -4x = 1x 10 + 1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 1x = 17 + 0 10 + 1x = 17 Add '-10' to each side of the equation. 10 + -10 + 1x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 17 + -10 1x = 17 + -10 Combine like terms: 17 + -10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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