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Simplifying 6 + -2x = 6x + -1010x + 14 Reorder the terms: 6 + -2x = 14 + 6x + -1010x Combine like terms: 6x + -1010x = -1004x 6 + -2x = 14 + -1004x Solving 6 + -2x = 14 + -1004x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1004x' to each side of the equation. 6 + -2x + 1004x = 14 + -1004x + 1004x Combine like terms: -2x + 1004x = 1002x 6 + 1002x = 14 + -1004x + 1004x Combine like terms: -1004x + 1004x = 0 6 + 1002x = 14 + 0 6 + 1002x = 14 Add '-6' to each side of the equation. 6 + -6 + 1002x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 1002x = 14 + -6 1002x = 14 + -6 Combine like terms: 14 + -6 = 8 1002x = 8 Divide each side by '1002'. x = 0.007984031936 Simplifying x = 0.007984031936
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