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Simplifying 1 + 6x = 5(1 + 6x) 1 + 6x = (1 * 5 + 6x * 5) 1 + 6x = (5 + 30x) Solving 1 + 6x = 5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 1 + 6x + -30x = 5 + 30x + -30x Combine like terms: 6x + -30x = -24x 1 + -24x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 1 + -24x = 5 + 0 1 + -24x = 5 Add '-1' to each side of the equation. 1 + -1 + -24x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -24x = 5 + -1 -24x = 5 + -1 Combine like terms: 5 + -1 = 4 -24x = 4 Divide each side by '-24'. x = -0.1666666667 Simplifying x = -0.1666666667
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