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Simplifying 2[5x + 8 + -10] = 4(2x + -6) Reorder the terms: 2[8 + -10 + 5x] = 4(2x + -6) Combine like terms: 8 + -10 = -2 2[-2 + 5x] = 4(2x + -6) [-2 * 2 + 5x * 2] = 4(2x + -6) [-4 + 10x] = 4(2x + -6) Reorder the terms: -4 + 10x = 4(-6 + 2x) -4 + 10x = (-6 * 4 + 2x * 4) -4 + 10x = (-24 + 8x) Solving -4 + 10x = -24 + 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. -4 + 10x + -8x = -24 + 8x + -8x Combine like terms: 10x + -8x = 2x -4 + 2x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 2x = -24 + 0 -4 + 2x = -24 Add '4' to each side of the equation. -4 + 4 + 2x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -24 + 4 2x = -24 + 4 Combine like terms: -24 + 4 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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