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Simplifying ((5x) + -1(3x)) * 2 = (7x) + -21 Remove parenthesis around (3x) ((5x) + -1 * 3x) * 2 = (7x) + -21 Multiply -1 * 3 ((5x) + -3x) * 2 = (7x) + -21 Combine like terms: (5x) + -3x = 2x (2x) * 2 = (7x) + -21 Remove parenthesis around (2x) 2x * 2 = (7x) + -21 Reorder the terms for easier multiplication: 2 * 2x = (7x) + -21 Multiply 2 * 2 4x = (7x) + -21 Reorder the terms: 4x = -21 + (7x) Solving 4x = -21 + (7x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-7x)' to each side of the equation. 4x + (-7x) = -21 + (7x) + (-7x) Combine like terms: 4x + (-7x) = -3x -3x = -21 + (7x) + (-7x) Combine like terms: (7x) + (-7x) = 0 -3x = -21 + 0 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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