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Simplifying -12X + 7X + -1 = -2(-17 + -1X) Reorder the terms: -1 + -12X + 7X = -2(-17 + -1X) Combine like terms: -12X + 7X = -5X -1 + -5X = -2(-17 + -1X) -1 + -5X = (-17 * -2 + -1X * -2) -1 + -5X = (34 + 2X) Solving -1 + -5X = 34 + 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. -1 + -5X + -2X = 34 + 2X + -2X Combine like terms: -5X + -2X = -7X -1 + -7X = 34 + 2X + -2X Combine like terms: 2X + -2X = 0 -1 + -7X = 34 + 0 -1 + -7X = 34 Add '1' to each side of the equation. -1 + 1 + -7X = 34 + 1 Combine like terms: -1 + 1 = 0 0 + -7X = 34 + 1 -7X = 34 + 1 Combine like terms: 34 + 1 = 35 -7X = 35 Divide each side by '-7'. X = -5 Simplifying X = -5
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