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Simplifying 7[3 + -1(4 + 6x)] + -4 = 9 + 2(1 + -23x) 7[3 + (4 * -1 + 6x * -1)] + -4 = 9 + 2(1 + -23x) 7[3 + (-4 + -6x)] + -4 = 9 + 2(1 + -23x) Combine like terms: 3 + -4 = -1 7[-1 + -6x] + -4 = 9 + 2(1 + -23x) [-1 * 7 + -6x * 7] + -4 = 9 + 2(1 + -23x) [-7 + -42x] + -4 = 9 + 2(1 + -23x) Reorder the terms: -7 + -4 + -42x = 9 + 2(1 + -23x) Combine like terms: -7 + -4 = -11 -11 + -42x = 9 + 2(1 + -23x) -11 + -42x = 9 + (1 * 2 + -23x * 2) -11 + -42x = 9 + (2 + -46x) Combine like terms: 9 + 2 = 11 -11 + -42x = 11 + -46x Solving -11 + -42x = 11 + -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. -11 + -42x + 46x = 11 + -46x + 46x Combine like terms: -42x + 46x = 4x -11 + 4x = 11 + -46x + 46x Combine like terms: -46x + 46x = 0 -11 + 4x = 11 + 0 -11 + 4x = 11 Add '11' to each side of the equation. -11 + 11 + 4x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 11 + 11 4x = 11 + 11 Combine like terms: 11 + 11 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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