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Simplifying -6(2x + 8) + 2x = 38 Reorder the terms: -6(8 + 2x) + 2x = 38 (8 * -6 + 2x * -6) + 2x = 38 (-48 + -12x) + 2x = 38 Combine like terms: -12x + 2x = -10x -48 + -10x = 38 Solving -48 + -10x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -10x = 38 + 48 Combine like terms: -48 + 48 = 0 0 + -10x = 38 + 48 -10x = 38 + 48 Combine like terms: 38 + 48 = 86 -10x = 86 Divide each side by '-10'. x = -8.6 Simplifying x = -8.6
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