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Simplifying 6x + -7(-1x + 11) = 53 Reorder the terms: 6x + -7(11 + -1x) = 53 6x + (11 * -7 + -1x * -7) = 53 6x + (-77 + 7x) = 53 Reorder the terms: -77 + 6x + 7x = 53 Combine like terms: 6x + 7x = 13x -77 + 13x = 53 Solving -77 + 13x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 13x = 53 + 77 Combine like terms: -77 + 77 = 0 0 + 13x = 53 + 77 13x = 53 + 77 Combine like terms: 53 + 77 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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