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Simplifying 5x + 7x + 10 + -10 = 4x + -5 + -3x + 6 Reorder the terms: 10 + -10 + 5x + 7x = 4x + -5 + -3x + 6 Combine like terms: 10 + -10 = 0 0 + 5x + 7x = 4x + -5 + -3x + 6 5x + 7x = 4x + -5 + -3x + 6 Combine like terms: 5x + 7x = 12x 12x = 4x + -5 + -3x + 6 Reorder the terms: 12x = -5 + 6 + 4x + -3x Combine like terms: -5 + 6 = 1 12x = 1 + 4x + -3x Combine like terms: 4x + -3x = 1x 12x = 1 + 1x Solving 12x = 1 + 1x 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. 12x + -1x = 1 + 1x + -1x Combine like terms: 12x + -1x = 11x 11x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 11x = 1 + 0 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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