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Simplifying 3x + -2x + -4 = 6(x + 2) Reorder the terms: -4 + 3x + -2x = 6(x + 2) Combine like terms: 3x + -2x = 1x -4 + 1x = 6(x + 2) Reorder the terms: -4 + 1x = 6(2 + x) -4 + 1x = (2 * 6 + x * 6) -4 + 1x = (12 + 6x) Solving -4 + 1x = 12 + 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. -4 + 1x + -6x = 12 + 6x + -6x Combine like terms: 1x + -6x = -5x -4 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -5x = 12 + 0 -4 + -5x = 12 Add '4' to each side of the equation. -4 + 4 + -5x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 12 + 4 -5x = 12 + 4 Combine like terms: 12 + 4 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2
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