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Simplifying 2x + 4(3x + 2) = -6 + -5x Reorder the terms: 2x + 4(2 + 3x) = -6 + -5x 2x + (2 * 4 + 3x * 4) = -6 + -5x 2x + (8 + 12x) = -6 + -5x Reorder the terms: 8 + 2x + 12x = -6 + -5x Combine like terms: 2x + 12x = 14x 8 + 14x = -6 + -5x Solving 8 + 14x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 14x + 5x = -6 + -5x + 5x Combine like terms: 14x + 5x = 19x 8 + 19x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 19x = -6 + 0 8 + 19x = -6 Add '-8' to each side of the equation. 8 + -8 + 19x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = -6 + -8 19x = -6 + -8 Combine like terms: -6 + -8 = -14 19x = -14 Divide each side by '19'. x = -0.7368421053 Simplifying x = -0.7368421053
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