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Simplifying 5x + 1 + -3(x + 1) = 9x + 4 Reorder the terms: 5x + 1 + -3(1 + x) = 9x + 4 5x + 1 + (1 * -3 + x * -3) = 9x + 4 5x + 1 + (-3 + -3x) = 9x + 4 Reorder the terms: 1 + -3 + 5x + -3x = 9x + 4 Combine like terms: 1 + -3 = -2 -2 + 5x + -3x = 9x + 4 Combine like terms: 5x + -3x = 2x -2 + 2x = 9x + 4 Reorder the terms: -2 + 2x = 4 + 9x Solving -2 + 2x = 4 + 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. -2 + 2x + -9x = 4 + 9x + -9x Combine like terms: 2x + -9x = -7x -2 + -7x = 4 + 9x + -9x Combine like terms: 9x + -9x = 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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