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Simplifying (x * 3) + -2 = (x * 7) + 10 Reorder the terms for easier multiplication: (3x) + -2 = (x * 7) + 10 Reorder the terms: -2 + (3x) = (x * 7) + 10 Reorder the terms for easier multiplication: -2 + (3x) = (7x) + 10 Reorder the terms: -2 + (3x) = 10 + (7x) Solving -2 + (3x) = 10 + (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. -2 + (3x) + (-7x) = 10 + (7x) + (-7x) Combine like terms: (3x) + (-7x) = -4x -2 + -4x = 10 + (7x) + (-7x) Combine like terms: (7x) + (-7x) = 0 -2 + -4x = 10 + 0 -2 + -4x = 10 Add '2' to each side of the equation. -2 + 2 + -4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 10 + 2 -4x = 10 + 2 Combine like terms: 10 + 2 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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