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Simplifying 20x + 6(-5x + 2) + -3x = 38 Reorder the terms: 20x + 6(2 + -5x) + -3x = 38 20x + (2 * 6 + -5x * 6) + -3x = 38 20x + (12 + -30x) + -3x = 38 Reorder the terms: 12 + 20x + -30x + -3x = 38 Combine like terms: 20x + -30x = -10x 12 + -10x + -3x = 38 Combine like terms: -10x + -3x = -13x 12 + -13x = 38 Solving 12 + -13x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -13x = 38 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 38 + -12 -13x = 38 + -12 Combine like terms: 38 + -12 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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