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Simplifying 9x + 4 + -1(7x + -2) = x + 6(x + 1) Reorder the terms: 9x + 4 + -1(-2 + 7x) = x + 6(x + 1) 9x + 4 + (-2 * -1 + 7x * -1) = x + 6(x + 1) 9x + 4 + (2 + -7x) = x + 6(x + 1) Reorder the terms: 4 + 2 + 9x + -7x = x + 6(x + 1) Combine like terms: 4 + 2 = 6 6 + 9x + -7x = x + 6(x + 1) Combine like terms: 9x + -7x = 2x 6 + 2x = x + 6(x + 1) Reorder the terms: 6 + 2x = x + 6(1 + x) 6 + 2x = x + (1 * 6 + x * 6) 6 + 2x = x + (6 + 6x) Reorder the terms: 6 + 2x = 6 + x + 6x Combine like terms: x + 6x = 7x 6 + 2x = 6 + 7x Add '-6' to each side of the equation. 6 + -6 + 2x = 6 + -6 + 7x Combine like terms: 6 + -6 = 0 0 + 2x = 6 + -6 + 7x 2x = 6 + -6 + 7x Combine like terms: 6 + -6 = 0 2x = 0 + 7x 2x = 7x Solving 2x = 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. 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x -5x = 7x + -7x Combine like terms: 7x + -7x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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