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Simplifying 6[(7 + 4) + -2(5 + -3)] = x Combine like terms: 7 + 4 = 11 6[(11) + -2(5 + -3)] = x 6[11 + -2(5 + -3)] = x Combine like terms: 5 + -3 = 2 6[11 + -2(2)] = x Multiply -2 * 2 6[11 + -4] = x Combine like terms: 11 + -4 = 7 6[7] = x Multiply 6 * 7 42 = x Solving 42 = 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. 42 + -1x = x + -1x Combine like terms: x + -1x = 0 42 + -1x = 0 Add '-42' to each side of the equation. 42 + -42 + -1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 0 + -42 -1x = 0 + -42 Combine like terms: 0 + -42 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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