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Simplifying 7 = 6(1 + -2x) + -5 7 = (1 * 6 + -2x * 6) + -5 7 = (6 + -12x) + -5 Reorder the terms: 7 = 6 + -5 + -12x Combine like terms: 6 + -5 = 1 7 = 1 + -12x Solving 7 = 1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 7 + 12x = 1 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 12x = 1 + 0 7 + 12x = 1 Add '-7' to each side of the equation. 7 + -7 + 12x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 1 + -7 12x = 1 + -7 Combine like terms: 1 + -7 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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