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Simplifying 7(x + -1) + -3(2x + 1) = 0 Reorder the terms: 7(-1 + x) + -3(2x + 1) = 0 (-1 * 7 + x * 7) + -3(2x + 1) = 0 (-7 + 7x) + -3(2x + 1) = 0 Reorder the terms: -7 + 7x + -3(1 + 2x) = 0 -7 + 7x + (1 * -3 + 2x * -3) = 0 -7 + 7x + (-3 + -6x) = 0 Reorder the terms: -7 + -3 + 7x + -6x = 0 Combine like terms: -7 + -3 = -10 -10 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x -10 + 1x = 0 Solving -10 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 0 + 10 1x = 0 + 10 Combine like terms: 0 + 10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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