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Simplifying 2[x + -4] + -10 = -2[-1 + 4x] Reorder the terms: 2[-4 + x] + -10 = -2[-1 + 4x] [-4 * 2 + x * 2] + -10 = -2[-1 + 4x] [-8 + 2x] + -10 = -2[-1 + 4x] Reorder the terms: -8 + -10 + 2x = -2[-1 + 4x] Combine like terms: -8 + -10 = -18 -18 + 2x = -2[-1 + 4x] -18 + 2x = [-1 * -2 + 4x * -2] -18 + 2x = [2 + -8x] Solving -18 + 2x = 2 + -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. -18 + 2x + 8x = 2 + -8x + 8x Combine like terms: 2x + 8x = 10x -18 + 10x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 10x = 2 + 0 -18 + 10x = 2 Add '18' to each side of the equation. -18 + 18 + 10x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 2 + 18 10x = 2 + 18 Combine like terms: 2 + 18 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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