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Simplifying 3 + -4x + -3 = 10x + 7 + 2x + 5(1 + -1x) Reorder the terms: 3 + -3 + -4x = 10x + 7 + 2x + 5(1 + -1x) Combine like terms: 3 + -3 = 0 0 + -4x = 10x + 7 + 2x + 5(1 + -1x) -4x = 10x + 7 + 2x + 5(1 + -1x) -4x = 10x + 7 + 2x + (1 * 5 + -1x * 5) -4x = 10x + 7 + 2x + (5 + -5x) Reorder the terms: -4x = 7 + 5 + 10x + 2x + -5x Combine like terms: 7 + 5 = 12 -4x = 12 + 10x + 2x + -5x Combine like terms: 10x + 2x = 12x -4x = 12 + 12x + -5x Combine like terms: 12x + -5x = 7x -4x = 12 + 7x Solving -4x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4x + -7x = 12 + 7x + -7x Combine like terms: -4x + -7x = -11x -11x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -11x = 12 + 0 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091
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