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Simplifying (10x + 4) + -1(9x + 7) = -6 Reorder the terms: (4 + 10x) + -1(9x + 7) = -6 Remove parenthesis around (4 + 10x) 4 + 10x + -1(9x + 7) = -6 Reorder the terms: 4 + 10x + -1(7 + 9x) = -6 4 + 10x + (7 * -1 + 9x * -1) = -6 4 + 10x + (-7 + -9x) = -6 Reorder the terms: 4 + -7 + 10x + -9x = -6 Combine like terms: 4 + -7 = -3 -3 + 10x + -9x = -6 Combine like terms: 10x + -9x = 1x -3 + 1x = -6 Solving -3 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -6 + 3 1x = -6 + 3 Combine like terms: -6 + 3 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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