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Simplifying 7x + 4x + -2 = 2(x + 1) + -9x Reorder the terms: -2 + 7x + 4x = 2(x + 1) + -9x Combine like terms: 7x + 4x = 11x -2 + 11x = 2(x + 1) + -9x Reorder the terms: -2 + 11x = 2(1 + x) + -9x -2 + 11x = (1 * 2 + x * 2) + -9x -2 + 11x = (2 + 2x) + -9x Combine like terms: 2x + -9x = -7x -2 + 11x = 2 + -7x Solving -2 + 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. -2 + 11x + 7x = 2 + -7x + 7x Combine like terms: 11x + 7x = 18x -2 + 18x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 18x = 2 + 0 -2 + 18x = 2 Add '2' to each side of the equation. -2 + 2 + 18x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 2 + 2 18x = 2 + 2 Combine like terms: 2 + 2 = 4 18x = 4 Divide each side by '18'. x = 0.2222222222 Simplifying x = 0.2222222222
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