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Simplifying 7(x + -1(2)) + -1(4x) = 10 Multiply -1 * 2 7(x + -2) + -1(4x) = 10 Reorder the terms: 7(-2 + x) + -1(4x) = 10 (-2 * 7 + x * 7) + -1(4x) = 10 (-14 + 7x) + -1(4x) = 10 Remove parenthesis around (4x) -14 + 7x + -1 * 4x = 10 Multiply -1 * 4 -14 + 7x + -4x = 10 Combine like terms: 7x + -4x = 3x -14 + 3x = 10 Solving -14 + 3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 10 + 14 3x = 10 + 14 Combine like terms: 10 + 14 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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