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Simplifying -3x + 2(2x + 4) = -1(4x + 6) + -6 Reorder the terms: -3x + 2(4 + 2x) = -1(4x + 6) + -6 -3x + (4 * 2 + 2x * 2) = -1(4x + 6) + -6 -3x + (8 + 4x) = -1(4x + 6) + -6 Reorder the terms: 8 + -3x + 4x = -1(4x + 6) + -6 Combine like terms: -3x + 4x = 1x 8 + 1x = -1(4x + 6) + -6 Reorder the terms: 8 + 1x = -1(6 + 4x) + -6 8 + 1x = (6 * -1 + 4x * -1) + -6 8 + 1x = (-6 + -4x) + -6 Reorder the terms: 8 + 1x = -6 + -6 + -4x Combine like terms: -6 + -6 = -12 8 + 1x = -12 + -4x Solving 8 + 1x = -12 + -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. 8 + 1x + 4x = -12 + -4x + 4x Combine like terms: 1x + 4x = 5x 8 + 5x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 5x = -12 + 0 8 + 5x = -12 Add '-8' to each side of the equation. 8 + -8 + 5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -12 + -8 5x = -12 + -8 Combine like terms: -12 + -8 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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