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Simplifying 45 = 8(1 + -6x) + 5 45 = (1 * 8 + -6x * 8) + 5 45 = (8 + -48x) + 5 Reorder the terms: 45 = 8 + 5 + -48x Combine like terms: 8 + 5 = 13 45 = 13 + -48x Solving 45 = 13 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 45 + 48x = 13 + -48x + 48x Combine like terms: -48x + 48x = 0 45 + 48x = 13 + 0 45 + 48x = 13 Add '-45' to each side of the equation. 45 + -45 + 48x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 48x = 13 + -45 48x = 13 + -45 Combine like terms: 13 + -45 = -32 48x = -32 Divide each side by '48'. x = -0.6666666667 Simplifying x = -0.6666666667
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