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Simplifying 14 + -1(2x + 6) = -3(4 + 2x) + -8 Reorder the terms: 14 + -1(6 + 2x) = -3(4 + 2x) + -8 14 + (6 * -1 + 2x * -1) = -3(4 + 2x) + -8 14 + (-6 + -2x) = -3(4 + 2x) + -8 Combine like terms: 14 + -6 = 8 8 + -2x = -3(4 + 2x) + -8 8 + -2x = (4 * -3 + 2x * -3) + -8 8 + -2x = (-12 + -6x) + -8 Reorder the terms: 8 + -2x = -12 + -8 + -6x Combine like terms: -12 + -8 = -20 8 + -2x = -20 + -6x Solving 8 + -2x = -20 + -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 + -2x + 6x = -20 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = -20 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = -20 + 0 8 + 4x = -20 Add '-8' to each side of the equation. 8 + -8 + 4x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -20 + -8 4x = -20 + -8 Combine like terms: -20 + -8 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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