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Simplifying 7[3 + -1(4 + 6)] + -4x = -9 + 2(1 + -23x) Combine like terms: 4 + 6 = 10 7[3 + -1(10)] + -4x = -9 + 2(1 + -23x) Multiply -1 * 10 7[3 + -10] + -4x = -9 + 2(1 + -23x) Combine like terms: 3 + -10 = -7 7[-7] + -4x = -9 + 2(1 + -23x) Multiply 7 * -7 -49 + -4x = -9 + 2(1 + -23x) -49 + -4x = -9 + (1 * 2 + -23x * 2) -49 + -4x = -9 + (2 + -46x) Combine like terms: -9 + 2 = -7 -49 + -4x = -7 + -46x Solving -49 + -4x = -7 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. -49 + -4x + 46x = -7 + -46x + 46x Combine like terms: -4x + 46x = 42x -49 + 42x = -7 + -46x + 46x Combine like terms: -46x + 46x = 0 -49 + 42x = -7 + 0 -49 + 42x = -7 Add '49' to each side of the equation. -49 + 49 + 42x = -7 + 49 Combine like terms: -49 + 49 = 0 0 + 42x = -7 + 49 42x = -7 + 49 Combine like terms: -7 + 49 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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