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Simplifying 3x + 9 + -6(x + 1) = 4x + 9 Reorder the terms: 3x + 9 + -6(1 + x) = 4x + 9 3x + 9 + (1 * -6 + x * -6) = 4x + 9 3x + 9 + (-6 + -6x) = 4x + 9 Reorder the terms: 9 + -6 + 3x + -6x = 4x + 9 Combine like terms: 9 + -6 = 3 3 + 3x + -6x = 4x + 9 Combine like terms: 3x + -6x = -3x 3 + -3x = 4x + 9 Reorder the terms: 3 + -3x = 9 + 4x Solving 3 + -3x = 9 + 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. 3 + -3x + -4x = 9 + 4x + -4x Combine like terms: -3x + -4x = -7x 3 + -7x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -7x = 9 + 0 3 + -7x = 9 Add '-3' to each side of the equation. 3 + -3 + -7x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 9 + -3 -7x = 9 + -3 Combine like terms: 9 + -3 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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