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Simplifying 3(7 + -5x) = 6 + -1(2x + 8) (7 * 3 + -5x * 3) = 6 + -1(2x + 8) (21 + -15x) = 6 + -1(2x + 8) Reorder the terms: 21 + -15x = 6 + -1(8 + 2x) 21 + -15x = 6 + (8 * -1 + 2x * -1) 21 + -15x = 6 + (-8 + -2x) Combine like terms: 6 + -8 = -2 21 + -15x = -2 + -2x Solving 21 + -15x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + -15x + 2x = -2 + -2x + 2x Combine like terms: -15x + 2x = -13x 21 + -13x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + -13x = -2 + 0 21 + -13x = -2 Add '-21' to each side of the equation. 21 + -21 + -13x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -13x = -2 + -21 -13x = -2 + -21 Combine like terms: -2 + -21 = -23 -13x = -23 Divide each side by '-13'. x = 1.769230769 Simplifying x = 1.769230769
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