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Simplifying 5 + -4(1 + -6x) = -6x + 31 5 + (1 * -4 + -6x * -4) = -6x + 31 5 + (-4 + 24x) = -6x + 31 Combine like terms: 5 + -4 = 1 1 + 24x = -6x + 31 Reorder the terms: 1 + 24x = 31 + -6x Solving 1 + 24x = 31 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 24x + 6x = 31 + -6x + 6x Combine like terms: 24x + 6x = 30x 1 + 30x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 30x = 31 + 0 1 + 30x = 31 Add '-1' to each side of the equation. 1 + -1 + 30x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 30x = 31 + -1 30x = 31 + -1 Combine like terms: 31 + -1 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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