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Simplifying 1 + 6(9 + -7x) + -13x = -50x 1 + (9 * 6 + -7x * 6) + -13x = -50x 1 + (54 + -42x) + -13x = -50x Combine like terms: 1 + 54 = 55 55 + -42x + -13x = -50x Combine like terms: -42x + -13x = -55x 55 + -55x = -50x Solving 55 + -55x = -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 55 + -55x + 50x = -50x + 50x Combine like terms: -55x + 50x = -5x 55 + -5x = -50x + 50x Combine like terms: -50x + 50x = 0 55 + -5x = 0 Add '-55' to each side of the equation. 55 + -55 + -5x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -5x = 0 + -55 -5x = 0 + -55 Combine like terms: 0 + -55 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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