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Simplifying 5x + 8 + -9(x + 1) = 2x + 4 Reorder the terms: 5x + 8 + -9(1 + x) = 2x + 4 5x + 8 + (1 * -9 + x * -9) = 2x + 4 5x + 8 + (-9 + -9x) = 2x + 4 Reorder the terms: 8 + -9 + 5x + -9x = 2x + 4 Combine like terms: 8 + -9 = -1 -1 + 5x + -9x = 2x + 4 Combine like terms: 5x + -9x = -4x -1 + -4x = 2x + 4 Reorder the terms: -1 + -4x = 4 + 2x Solving -1 + -4x = 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. -1 + -4x + -2x = 4 + 2x + -2x Combine like terms: -4x + -2x = -6x -1 + -6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -6x = 4 + 0 -1 + -6x = 4 Add '1' to each side of the equation. -1 + 1 + -6x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 4 + 1 -6x = 4 + 1 Combine like terms: 4 + 1 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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