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Simplifying 6(x + 8) = 24 + -4x Reorder the terms: 6(8 + x) = 24 + -4x (8 * 6 + x * 6) = 24 + -4x (48 + 6x) = 24 + -4x Solving 48 + 6x = 24 + -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. 48 + 6x + 4x = 24 + -4x + 4x Combine like terms: 6x + 4x = 10x 48 + 10x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 48 + 10x = 24 + 0 48 + 10x = 24 Add '-48' to each side of the equation. 48 + -48 + 10x = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = 24 + -48 10x = 24 + -48 Combine like terms: 24 + -48 = -24 10x = -24 Divide each side by '10'. x = -2.4 Simplifying x = -2.4
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