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Simplifying 6 + -5(x + 2) = 8 + x Reorder the terms: 6 + -5(2 + x) = 8 + x 6 + (2 * -5 + x * -5) = 8 + x 6 + (-10 + -5x) = 8 + x Combine like terms: 6 + -10 = -4 -4 + -5x = 8 + x Solving -4 + -5x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -5x + -1x = 8 + x + -1x Combine like terms: -5x + -1x = -6x -4 + -6x = 8 + x + -1x Combine like terms: x + -1x = 0 -4 + -6x = 8 + 0 -4 + -6x = 8 Add '4' to each side of the equation. -4 + 4 + -6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 8 + 4 -6x = 8 + 4 Combine like terms: 8 + 4 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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