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Simplifying -5x + 20 = 6(-2x + 1) Reorder the terms: 20 + -5x = 6(-2x + 1) Reorder the terms: 20 + -5x = 6(1 + -2x) 20 + -5x = (1 * 6 + -2x * 6) 20 + -5x = (6 + -12x) Solving 20 + -5x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 20 + -5x + 12x = 6 + -12x + 12x Combine like terms: -5x + 12x = 7x 20 + 7x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + 7x = 6 + 0 20 + 7x = 6 Add '-20' to each side of the equation. 20 + -20 + 7x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 6 + -20 7x = 6 + -20 Combine like terms: 6 + -20 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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