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Simplifying 9.7x + 6 + -5.7x = 10x Reorder the terms: 6 + 9.7x + -5.7x = 10x Combine like terms: 9.7x + -5.7x = 4x 6 + 4x = 10x Solving 6 + 4x = 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. 6 + 4x + -10x = 10x + -10x Combine like terms: 4x + -10x = -6x 6 + -6x = 10x + -10x Combine like terms: 10x + -10x = 0 6 + -6x = 0 Add '-6' to each side of the equation. 6 + -6 + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 0 + -6 -6x = 0 + -6 Combine like terms: 0 + -6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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