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Simplifying 6x + -5(2x + 7) = 1 Reorder the terms: 6x + -5(7 + 2x) = 1 6x + (7 * -5 + 2x * -5) = 1 6x + (-35 + -10x) = 1 Reorder the terms: -35 + 6x + -10x = 1 Combine like terms: 6x + -10x = -4x -35 + -4x = 1 Solving -35 + -4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -4x = 1 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = 1 + 35 -4x = 1 + 35 Combine like terms: 1 + 35 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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