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Simplifying 2[7 + -4(3 + 2)] = x Combine like terms: 3 + 2 = 5 2[7 + -4(5)] = x Multiply -4 * 5 2[7 + -20] = x Combine like terms: 7 + -20 = -13 2[-13] = x Multiply 2 * -13 -26 = x Solving -26 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + -1x = x + -1x Combine like terms: x + -1x = 0 -26 + -1x = 0 Add '26' to each side of the equation. -26 + 26 + -1x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = 0 + 26 -1x = 0 + 26 Combine like terms: 0 + 26 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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