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Simplifying 10x + -4 + 2x + -3(2x + 7) = 77 Reorder the terms: 10x + -4 + 2x + -3(7 + 2x) = 77 10x + -4 + 2x + (7 * -3 + 2x * -3) = 77 10x + -4 + 2x + (-21 + -6x) = 77 Reorder the terms: -4 + -21 + 10x + 2x + -6x = 77 Combine like terms: -4 + -21 = -25 -25 + 10x + 2x + -6x = 77 Combine like terms: 10x + 2x = 12x -25 + 12x + -6x = 77 Combine like terms: 12x + -6x = 6x -25 + 6x = 77 Solving -25 + 6x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6x = 77 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 77 + 25 6x = 77 + 25 Combine like terms: 77 + 25 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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