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Simplifying 2[5x + -6] + 2[x] = 8 + 2[5x + -6] Reorder the terms: 2[-6 + 5x] + 2[x] = 8 + 2[5x + -6] [-6 * 2 + 5x * 2] + 2[x] = 8 + 2[5x + -6] [-12 + 10x] + 2[x] = 8 + 2[5x + -6] Combine like terms: 10x + 2x = 12x -12 + 12x = 8 + 2[5x + -6] Reorder the terms: -12 + 12x = 8 + 2[-6 + 5x] -12 + 12x = 8 + [-6 * 2 + 5x * 2] -12 + 12x = 8 + [-12 + 10x] Combine like terms: 8 + -12 = -4 -12 + 12x = -4 + 10x Solving -12 + 12x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 12x + -10x = -4 + 10x + -10x Combine like terms: 12x + -10x = 2x -12 + 2x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 2x = -4 + 0 -12 + 2x = -4 Add '12' to each side of the equation. -12 + 12 + 2x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -4 + 12 2x = -4 + 12 Combine like terms: -4 + 12 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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