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Simplifying -2(4x + -10) = -4(4x + 12) Reorder the terms: -2(-10 + 4x) = -4(4x + 12) (-10 * -2 + 4x * -2) = -4(4x + 12) (20 + -8x) = -4(4x + 12) Reorder the terms: 20 + -8x = -4(12 + 4x) 20 + -8x = (12 * -4 + 4x * -4) 20 + -8x = (-48 + -16x) Solving 20 + -8x = -48 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 20 + -8x + 16x = -48 + -16x + 16x Combine like terms: -8x + 16x = 8x 20 + 8x = -48 + -16x + 16x Combine like terms: -16x + 16x = 0 20 + 8x = -48 + 0 20 + 8x = -48 Add '-20' to each side of the equation. 20 + -20 + 8x = -48 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -48 + -20 8x = -48 + -20 Combine like terms: -48 + -20 = -68 8x = -68 Divide each side by '8'. x = -8.5 Simplifying x = -8.5
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