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Simplifying 7x + -1(-4x) + (-7x) + (-10x) + (-2) = 10 Remove parenthesis around (-4x) 7x + -1 * -4x + (-7x) + (-10x) + (-2) = 10 Multiply -1 * -4 7x + 4x + (-7x) + (-10x) + (-2) = 10 7x + 4x + (-7x) + (-10x) + -2 = 10 Reorder the terms: -2 + 7x + 4x + (-7x) + (-10x) = 10 Combine like terms: 7x + 4x = 11x -2 + 11x + (-7x) + (-10x) = 10 Combine like terms: 11x + (-7x) = 4x -2 + 4x + (-10x) = 10 Combine like terms: 4x + (-10x) = -6x -2 + -6x = 10 Solving -2 + -6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 10 + 2 -6x = 10 + 2 Combine like terms: 10 + 2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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