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Simplifying 6(5 + -1X) = -2(X + 43) (5 * 6 + -1X * 6) = -2(X + 43) (30 + -6X) = -2(X + 43) Reorder the terms: 30 + -6X = -2(43 + X) 30 + -6X = (43 * -2 + X * -2) 30 + -6X = (-86 + -2X) Solving 30 + -6X = -86 + -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. 30 + -6X + 2X = -86 + -2X + 2X Combine like terms: -6X + 2X = -4X 30 + -4X = -86 + -2X + 2X Combine like terms: -2X + 2X = 0 30 + -4X = -86 + 0 30 + -4X = -86 Add '-30' to each side of the equation. 30 + -30 + -4X = -86 + -30 Combine like terms: 30 + -30 = 0 0 + -4X = -86 + -30 -4X = -86 + -30 Combine like terms: -86 + -30 = -116 -4X = -116 Divide each side by '-4'. X = 29 Simplifying X = 29
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