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Simplifying -12 + -6x = 6(1 + -5x) -12 + -6x = (1 * 6 + -5x * 6) -12 + -6x = (6 + -30x) Solving -12 + -6x = 6 + -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. -12 + -6x + 30x = 6 + -30x + 30x Combine like terms: -6x + 30x = 24x -12 + 24x = 6 + -30x + 30x Combine like terms: -30x + 30x = 0 -12 + 24x = 6 + 0 -12 + 24x = 6 Add '12' to each side of the equation. -12 + 12 + 24x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 6 + 12 24x = 6 + 12 Combine like terms: 6 + 12 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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