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Simplifying 3x + 9x + -4x + 10 = 17 + x Reorder the terms: 10 + 3x + 9x + -4x = 17 + x Combine like terms: 3x + 9x = 12x 10 + 12x + -4x = 17 + x Combine like terms: 12x + -4x = 8x 10 + 8x = 17 + x Solving 10 + 8x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 8x + -1x = 17 + x + -1x Combine like terms: 8x + -1x = 7x 10 + 7x = 17 + x + -1x Combine like terms: x + -1x = 0 10 + 7x = 17 + 0 10 + 7x = 17 Add '-10' to each side of the equation. 10 + -10 + 7x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 17 + -10 7x = 17 + -10 Combine like terms: 17 + -10 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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