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Simplifying 7x + 1 + -4(x + 1) = 9x + 2 Reorder the terms: 7x + 1 + -4(1 + x) = 9x + 2 7x + 1 + (1 * -4 + x * -4) = 9x + 2 7x + 1 + (-4 + -4x) = 9x + 2 Reorder the terms: 1 + -4 + 7x + -4x = 9x + 2 Combine like terms: 1 + -4 = -3 -3 + 7x + -4x = 9x + 2 Combine like terms: 7x + -4x = 3x -3 + 3x = 9x + 2 Reorder the terms: -3 + 3x = 2 + 9x Solving -3 + 3x = 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. -3 + 3x + -9x = 2 + 9x + -9x Combine like terms: 3x + -9x = -6x -3 + -6x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -6x = 2 + 0 -3 + -6x = 2 Add '3' to each side of the equation. -3 + 3 + -6x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 2 + 3 -6x = 2 + 3 Combine like terms: 2 + 3 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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