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Simplifying 3(2x + -6) = 2[2(3 + -1x) + -5] Reorder the terms: 3(-6 + 2x) = 2[2(3 + -1x) + -5] (-6 * 3 + 2x * 3) = 2[2(3 + -1x) + -5] (-18 + 6x) = 2[2(3 + -1x) + -5] -18 + 6x = 2[(3 * 2 + -1x * 2) + -5] -18 + 6x = 2[(6 + -2x) + -5] Reorder the terms: -18 + 6x = 2[6 + -5 + -2x] Combine like terms: 6 + -5 = 1 -18 + 6x = 2[1 + -2x] -18 + 6x = [1 * 2 + -2x * 2] -18 + 6x = [2 + -4x] Solving -18 + 6x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 6x + 4x = 2 + -4x + 4x Combine like terms: 6x + 4x = 10x -18 + 10x = 2 + -4x + 4x Combine like terms: -4x + 4x = 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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