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Simplifying 6(2x + -8) = 37 + -5x Reorder the terms: 6(-8 + 2x) = 37 + -5x (-8 * 6 + 2x * 6) = 37 + -5x (-48 + 12x) = 37 + -5x Solving -48 + 12x = 37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -48 + 12x + 5x = 37 + -5x + 5x Combine like terms: 12x + 5x = 17x -48 + 17x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 -48 + 17x = 37 + 0 -48 + 17x = 37 Add '48' to each side of the equation. -48 + 48 + 17x = 37 + 48 Combine like terms: -48 + 48 = 0 0 + 17x = 37 + 48 17x = 37 + 48 Combine like terms: 37 + 48 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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