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Simplifying 6 + -7x = 5(1 + -8x) 6 + -7x = (1 * 5 + -8x * 5) 6 + -7x = (5 + -40x) Solving 6 + -7x = 5 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 6 + -7x + 40x = 5 + -40x + 40x Combine like terms: -7x + 40x = 33x 6 + 33x = 5 + -40x + 40x Combine like terms: -40x + 40x = 0 6 + 33x = 5 + 0 6 + 33x = 5 Add '-6' to each side of the equation. 6 + -6 + 33x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 33x = 5 + -6 33x = 5 + -6 Combine like terms: 5 + -6 = -1 33x = -1 Divide each side by '33'. x = -0.0303030303 Simplifying x = -0.0303030303
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