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Simplifying -6(8 + 4x) = 37 + -7x (8 * -6 + 4x * -6) = 37 + -7x (-48 + -24x) = 37 + -7x Solving -48 + -24x = 37 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -48 + -24x + 7x = 37 + -7x + 7x Combine like terms: -24x + 7x = -17x -48 + -17x = 37 + -7x + 7x Combine like terms: -7x + 7x = 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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