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Simplifying 3(2x + 8) = 2x + -4 Reorder the terms: 3(8 + 2x) = 2x + -4 (8 * 3 + 2x * 3) = 2x + -4 (24 + 6x) = 2x + -4 Reorder the terms: 24 + 6x = -4 + 2x Solving 24 + 6x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x 24 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 4x = -4 + 0 24 + 4x = -4 Add '-24' to each side of the equation. 24 + -24 + 4x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -4 + -24 4x = -4 + -24 Combine like terms: -4 + -24 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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