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Simplifying 6x + 5(1 + -3x) = 12 6x + (1 * 5 + -3x * 5) = 12 6x + (5 + -15x) = 12 Reorder the terms: 5 + 6x + -15x = 12 Combine like terms: 6x + -15x = -9x 5 + -9x = 12 Solving 5 + -9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 12 + -5 -9x = 12 + -5 Combine like terms: 12 + -5 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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