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Simplifying 5x + 8 + -2(x + 1) = 6x + 8 Reorder the terms: 5x + 8 + -2(1 + x) = 6x + 8 5x + 8 + (1 * -2 + x * -2) = 6x + 8 5x + 8 + (-2 + -2x) = 6x + 8 Reorder the terms: 8 + -2 + 5x + -2x = 6x + 8 Combine like terms: 8 + -2 = 6 6 + 5x + -2x = 6x + 8 Combine like terms: 5x + -2x = 3x 6 + 3x = 6x + 8 Reorder the terms: 6 + 3x = 8 + 6x Solving 6 + 3x = 8 + 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. 6 + 3x + -6x = 8 + 6x + -6x Combine like terms: 3x + -6x = -3x 6 + -3x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -3x = 8 + 0 6 + -3x = 8 Add '-6' to each side of the equation. 6 + -6 + -3x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 8 + -6 -3x = 8 + -6 Combine like terms: 8 + -6 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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