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Simplifying 8 + 5(x + -4) = 6(x + 2) Reorder the terms: 8 + 5(-4 + x) = 6(x + 2) 8 + (-4 * 5 + x * 5) = 6(x + 2) 8 + (-20 + 5x) = 6(x + 2) Combine like terms: 8 + -20 = -12 -12 + 5x = 6(x + 2) Reorder the terms: -12 + 5x = 6(2 + x) -12 + 5x = (2 * 6 + x * 6) -12 + 5x = (12 + 6x) Solving -12 + 5x = 12 + 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 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x -12 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1x = 12 + 0 -12 + -1x = 12 Add '12' to each side of the equation. -12 + 12 + -1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 12 + 12 -1x = 12 + 12 Combine like terms: 12 + 12 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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