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Simplifying 2(x + 6) = 4x(-2) Reorder the terms: 2(6 + x) = 4x(-2) (6 * 2 + x * 2) = 4x(-2) (12 + 2x) = 4x(-2) Reorder the terms for easier multiplication: 12 + 2x = 4 * -2x Multiply 4 * -2 12 + 2x = -8x Solving 12 + 2x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 2x + 8x = -8x + 8x Combine like terms: 2x + 8x = 10x 12 + 10x = -8x + 8x Combine like terms: -8x + 8x = 0 12 + 10x = 0 Add '-12' to each side of the equation. 12 + -12 + 10x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 0 + -12 10x = 0 + -12 Combine like terms: 0 + -12 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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