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Simplifying 4[x + -1(4 + -2x) + 6] = -2(3x + 14) 4[x + (4 * -1 + -2x * -1) + 6] = -2(3x + 14) 4[x + (-4 + 2x) + 6] = -2(3x + 14) Reorder the terms: 4[-4 + 6 + x + 2x] = -2(3x + 14) Combine like terms: -4 + 6 = 2 4[2 + x + 2x] = -2(3x + 14) Combine like terms: x + 2x = 3x 4[2 + 3x] = -2(3x + 14) [2 * 4 + 3x * 4] = -2(3x + 14) [8 + 12x] = -2(3x + 14) Reorder the terms: 8 + 12x = -2(14 + 3x) 8 + 12x = (14 * -2 + 3x * -2) 8 + 12x = (-28 + -6x) Solving 8 + 12x = -28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 12x + 6x = -28 + -6x + 6x Combine like terms: 12x + 6x = 18x 8 + 18x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 18x = -28 + 0 8 + 18x = -28 Add '-8' to each side of the equation. 8 + -8 + 18x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = -28 + -8 18x = -28 + -8 Combine like terms: -28 + -8 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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