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Simplifying (12X + -10) = (7X + 5) * 2 Reorder the terms: (-10 + 12X) = (7X + 5) * 2 Remove parenthesis around (-10 + 12X) -10 + 12X = (7X + 5) * 2 Reorder the terms: -10 + 12X = (5 + 7X) * 2 Reorder the terms for easier multiplication: -10 + 12X = 2(5 + 7X) -10 + 12X = (5 * 2 + 7X * 2) -10 + 12X = (10 + 14X) Solving -10 + 12X = 10 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. -10 + 12X + -14X = 10 + 14X + -14X Combine like terms: 12X + -14X = -2X -10 + -2X = 10 + 14X + -14X Combine like terms: 14X + -14X = 0 -10 + -2X = 10 + 0 -10 + -2X = 10 Add '10' to each side of the equation. -10 + 10 + -2X = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2X = 10 + 10 -2X = 10 + 10 Combine like terms: 10 + 10 = 20 -2X = 20 Divide each side by '-2'. X = -10 Simplifying X = -10
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