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Simplifying (6x) + -7 = (2x) + 21 Reorder the terms: -7 + (6x) = (2x) + 21 Reorder the terms: -7 + (6x) = 21 + (2x) Solving -7 + (6x) = 21 + (2x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-2x)' to each side of the equation. -7 + (6x) + (-2x) = 21 + (2x) + (-2x) Combine like terms: (6x) + (-2x) = 4x -7 + 4x = 21 + (2x) + (-2x) Combine like terms: (2x) + (-2x) = 0 -7 + 4x = 21 + 0 -7 + 4x = 21 Add '7' to each side of the equation. -7 + 7 + 4x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 21 + 7 4x = 21 + 7 Combine like terms: 21 + 7 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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