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Simplifying 4(x + 6) = -4x + -48 Reorder the terms: 4(6 + x) = -4x + -48 (6 * 4 + x * 4) = -4x + -48 (24 + 4x) = -4x + -48 Reorder the terms: 24 + 4x = -48 + -4x Solving 24 + 4x = -48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 4x + 4x = -48 + -4x + 4x Combine like terms: 4x + 4x = 8x 24 + 8x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 8x = -48 + 0 24 + 8x = -48 Add '-24' to each side of the equation. 24 + -24 + 8x = -48 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -48 + -24 8x = -48 + -24 Combine like terms: -48 + -24 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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