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Simplifying 4(2x + 6) = 2(-4x + -10) Reorder the terms: 4(6 + 2x) = 2(-4x + -10) (6 * 4 + 2x * 4) = 2(-4x + -10) (24 + 8x) = 2(-4x + -10) Reorder the terms: 24 + 8x = 2(-10 + -4x) 24 + 8x = (-10 * 2 + -4x * 2) 24 + 8x = (-20 + -8x) Solving 24 + 8x = -20 + -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 = -20 + -8x + 8x Combine like terms: 8x + 8x = 16x 24 + 16x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 16x = -20 + 0 24 + 16x = -20 Add '-24' to each side of the equation. 24 + -24 + 16x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = -20 + -24 16x = -20 + -24 Combine like terms: -20 + -24 = -44 16x = -44 Divide each side by '16'. x = -2.75 Simplifying x = -2.75
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