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Simplifying 6x + 9 + -3(x + 1) = 8x + 9 Reorder the terms: 6x + 9 + -3(1 + x) = 8x + 9 6x + 9 + (1 * -3 + x * -3) = 8x + 9 6x + 9 + (-3 + -3x) = 8x + 9 Reorder the terms: 9 + -3 + 6x + -3x = 8x + 9 Combine like terms: 9 + -3 = 6 6 + 6x + -3x = 8x + 9 Combine like terms: 6x + -3x = 3x 6 + 3x = 8x + 9 Reorder the terms: 6 + 3x = 9 + 8x Solving 6 + 3x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 3x + -8x = 9 + 8x + -8x Combine like terms: 3x + -8x = -5x 6 + -5x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -5x = 9 + 0 6 + -5x = 9 Add '-6' to each side of the equation. 6 + -6 + -5x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 9 + -6 -5x = 9 + -6 Combine like terms: 9 + -6 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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