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Simplifying 6 + -2[4(x + 3)] = 2(x + -1) Reorder the terms: 6 + -2[4(3 + x)] = 2(x + -1) 6 + -2[(3 * 4 + x * 4)] = 2(x + -1) 6 + -2[(12 + 4x)] = 2(x + -1) 6 + [12 * -2 + 4x * -2] = 2(x + -1) 6 + [-24 + -8x] = 2(x + -1) Combine like terms: 6 + -24 = -18 -18 + -8x = 2(x + -1) Reorder the terms: -18 + -8x = 2(-1 + x) -18 + -8x = (-1 * 2 + x * 2) -18 + -8x = (-2 + 2x) Solving -18 + -8x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + -8x + -2x = -2 + 2x + -2x Combine like terms: -8x + -2x = -10x -18 + -10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 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 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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