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Simplifying 4x + -3 + 7x + -1 = 2x + 3 + -9x + -5 Reorder the terms: -3 + -1 + 4x + 7x = 2x + 3 + -9x + -5 Combine like terms: -3 + -1 = -4 -4 + 4x + 7x = 2x + 3 + -9x + -5 Combine like terms: 4x + 7x = 11x -4 + 11x = 2x + 3 + -9x + -5 Reorder the terms: -4 + 11x = 3 + -5 + 2x + -9x Combine like terms: 3 + -5 = -2 -4 + 11x = -2 + 2x + -9x Combine like terms: 2x + -9x = -7x -4 + 11x = -2 + -7x Solving -4 + 11x = -2 + -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. -4 + 11x + 7x = -2 + -7x + 7x Combine like terms: 11x + 7x = 18x -4 + 18x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 18x = -2 + 0 -4 + 18x = -2 Add '4' to each side of the equation. -4 + 4 + 18x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = -2 + 4 18x = -2 + 4 Combine like terms: -2 + 4 = 2 18x = 2 Divide each side by '18'. x = 0.1111111111 Simplifying x = 0.1111111111
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