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Simplifying (2x + 6) * 4 = -2x(4) Reorder the terms: (6 + 2x) * 4 = -2x(4) Reorder the terms for easier multiplication: 4(6 + 2x) = -2x(4) (6 * 4 + 2x * 4) = -2x(4) (24 + 8x) = -2x(4) Reorder the terms for easier multiplication: 24 + 8x = -2 * 4x Multiply -2 * 4 24 + 8x = -8x Solving 24 + 8x = -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. 24 + 8x + 8x = -8x + 8x Combine like terms: 8x + 8x = 16x 24 + 16x = -8x + 8x Combine like terms: -8x + 8x = 0 24 + 16x = 0 Add '-24' to each side of the equation. 24 + -24 + 16x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 0 + -24 16x = 0 + -24 Combine like terms: 0 + -24 = -24 16x = -24 Divide each side by '16'. x = -1.5 Simplifying x = -1.5
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