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Simplifying 6x + 7 + -9(x + 1) = 4x + 2 Reorder the terms: 6x + 7 + -9(1 + x) = 4x + 2 6x + 7 + (1 * -9 + x * -9) = 4x + 2 6x + 7 + (-9 + -9x) = 4x + 2 Reorder the terms: 7 + -9 + 6x + -9x = 4x + 2 Combine like terms: 7 + -9 = -2 -2 + 6x + -9x = 4x + 2 Combine like terms: 6x + -9x = -3x -2 + -3x = 4x + 2 Reorder the terms: -2 + -3x = 2 + 4x Solving -2 + -3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -3x + -4x = 2 + 4x + -4x Combine like terms: -3x + -4x = -7x -2 + -7x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -7x = 2 + 0 -2 + -7x = 2 Add '2' to each side of the equation. -2 + 2 + -7x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 2 + 2 -7x = 2 + 2 Combine like terms: 2 + 2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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