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Simplifying 7[2 + -1(3 + 6x)] + -4x = -9 + (1 + -23x) 7[2 + (3 * -1 + 6x * -1)] + -4x = -9 + (1 + -23x) 7[2 + (-3 + -6x)] + -4x = -9 + (1 + -23x) Combine like terms: 2 + -3 = -1 7[-1 + -6x] + -4x = -9 + (1 + -23x) [-1 * 7 + -6x * 7] + -4x = -9 + (1 + -23x) [-7 + -42x] + -4x = -9 + (1 + -23x) Combine like terms: -42x + -4x = -46x -7 + -46x = -9 + (1 + -23x) Remove parenthesis around (1 + -23x) -7 + -46x = -9 + 1 + -23x Combine like terms: -9 + 1 = -8 -7 + -46x = -8 + -23x Solving -7 + -46x = -8 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -7 + -46x + 23x = -8 + -23x + 23x Combine like terms: -46x + 23x = -23x -7 + -23x = -8 + -23x + 23x Combine like terms: -23x + 23x = 0 -7 + -23x = -8 + 0 -7 + -23x = -8 Add '7' to each side of the equation. -7 + 7 + -23x = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -23x = -8 + 7 -23x = -8 + 7 Combine like terms: -8 + 7 = -1 -23x = -1 Divide each side by '-23'. x = 0.04347826087 Simplifying x = 0.04347826087
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