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Simplifying 6x + 1 + -2(x + 1) = 9x + 2 Reorder the terms: 6x + 1 + -2(1 + x) = 9x + 2 6x + 1 + (1 * -2 + x * -2) = 9x + 2 6x + 1 + (-2 + -2x) = 9x + 2 Reorder the terms: 1 + -2 + 6x + -2x = 9x + 2 Combine like terms: 1 + -2 = -1 -1 + 6x + -2x = 9x + 2 Combine like terms: 6x + -2x = 4x -1 + 4x = 9x + 2 Reorder the terms: -1 + 4x = 2 + 9x Solving -1 + 4x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 4x + -9x = 2 + 9x + -9x Combine like terms: 4x + -9x = -5x -1 + -5x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -5x = 2 + 0 -1 + -5x = 2 Add '1' to each side of the equation. -1 + 1 + -5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 2 + 1 -5x = 2 + 1 Combine like terms: 2 + 1 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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