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Simplifying 5x + 6 + -8(x + 1) = 6x + 3 Reorder the terms: 5x + 6 + -8(1 + x) = 6x + 3 5x + 6 + (1 * -8 + x * -8) = 6x + 3 5x + 6 + (-8 + -8x) = 6x + 3 Reorder the terms: 6 + -8 + 5x + -8x = 6x + 3 Combine like terms: 6 + -8 = -2 -2 + 5x + -8x = 6x + 3 Combine like terms: 5x + -8x = -3x -2 + -3x = 6x + 3 Reorder the terms: -2 + -3x = 3 + 6x Solving -2 + -3x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -3x + -6x = 3 + 6x + -6x Combine like terms: -3x + -6x = -9x -2 + -9x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -9x = 3 + 0 -2 + -9x = 3 Add '2' to each side of the equation. -2 + 2 + -9x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 3 + 2 -9x = 3 + 2 Combine like terms: 3 + 2 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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