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Simplifying -4(x + 6) = -7x + -45 Reorder the terms: -4(6 + x) = -7x + -45 (6 * -4 + x * -4) = -7x + -45 (-24 + -4x) = -7x + -45 Reorder the terms: -24 + -4x = -45 + -7x Solving -24 + -4x = -45 + -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. -24 + -4x + 7x = -45 + -7x + 7x Combine like terms: -4x + 7x = 3x -24 + 3x = -45 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 3x = -45 + 0 -24 + 3x = -45 Add '24' to each side of the equation. -24 + 24 + 3x = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -45 + 24 3x = -45 + 24 Combine like terms: -45 + 24 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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