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Simplifying 5x + -2(x + -6) = 8 + -6x Reorder the terms: 5x + -2(-6 + x) = 8 + -6x 5x + (-6 * -2 + x * -2) = 8 + -6x 5x + (12 + -2x) = 8 + -6x Reorder the terms: 12 + 5x + -2x = 8 + -6x Combine like terms: 5x + -2x = 3x 12 + 3x = 8 + -6x Solving 12 + 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. 12 + 3x + 6x = 8 + -6x + 6x Combine like terms: 3x + 6x = 9x 12 + 9x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 9x = 8 + 0 12 + 9x = 8 Add '-12' to each side of the equation. 12 + -12 + 9x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 8 + -12 9x = 8 + -12 Combine like terms: 8 + -12 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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