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Simplifying 6x + 5 + -9(x + 1) = 5x + 3 Reorder the terms: 6x + 5 + -9(1 + x) = 5x + 3 6x + 5 + (1 * -9 + x * -9) = 5x + 3 6x + 5 + (-9 + -9x) = 5x + 3 Reorder the terms: 5 + -9 + 6x + -9x = 5x + 3 Combine like terms: 5 + -9 = -4 -4 + 6x + -9x = 5x + 3 Combine like terms: 6x + -9x = -3x -4 + -3x = 5x + 3 Reorder the terms: -4 + -3x = 3 + 5x Solving -4 + -3x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + -3x + -5x = 3 + 5x + -5x Combine like terms: -3x + -5x = -8x -4 + -8x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -8x = 3 + 0 -4 + -8x = 3 Add '4' to each side of the equation. -4 + 4 + -8x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 3 + 4 -8x = 3 + 4 Combine like terms: 3 + 4 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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