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Simplifying 4 + -1[6 + 2(x + -4)] = 4x + -2(x + 3) Reorder the terms: 4 + -1[6 + 2(-4 + x)] = 4x + -2(x + 3) 4 + -1[6 + (-4 * 2 + x * 2)] = 4x + -2(x + 3) 4 + -1[6 + (-8 + 2x)] = 4x + -2(x + 3) Combine like terms: 6 + -8 = -2 4 + -1[-2 + 2x] = 4x + -2(x + 3) 4 + [-2 * -1 + 2x * -1] = 4x + -2(x + 3) 4 + [2 + -2x] = 4x + -2(x + 3) Combine like terms: 4 + 2 = 6 6 + -2x = 4x + -2(x + 3) Reorder the terms: 6 + -2x = 4x + -2(3 + x) 6 + -2x = 4x + (3 * -2 + x * -2) 6 + -2x = 4x + (-6 + -2x) Reorder the terms: 6 + -2x = -6 + 4x + -2x Combine like terms: 4x + -2x = 2x 6 + -2x = -6 + 2x Solving 6 + -2x = -6 + 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. 6 + -2x + -2x = -6 + 2x + -2x Combine like terms: -2x + -2x = -4x 6 + -4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -4x = -6 + 0 6 + -4x = -6 Add '-6' to each side of the equation. 6 + -6 + -4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -6 + -6 -4x = -6 + -6 Combine like terms: -6 + -6 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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