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Simplifying 4x + 7 + -9(x + 1) = 2x + 4 Reorder the terms: 4x + 7 + -9(1 + x) = 2x + 4 4x + 7 + (1 * -9 + x * -9) = 2x + 4 4x + 7 + (-9 + -9x) = 2x + 4 Reorder the terms: 7 + -9 + 4x + -9x = 2x + 4 Combine like terms: 7 + -9 = -2 -2 + 4x + -9x = 2x + 4 Combine like terms: 4x + -9x = -5x -2 + -5x = 2x + 4 Reorder the terms: -2 + -5x = 4 + 2x Solving -2 + -5x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -5x + -2x = 4 + 2x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -7x = 4 + 0 -2 + -7x = 4 Add '2' to each side of the equation. -2 + 2 + -7x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 4 + 2 -7x = 4 + 2 Combine like terms: 4 + 2 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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