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Simplifying 12x + 6(x + -1) = 1(3x + -5) Reorder the terms: 12x + 6(-1 + x) = 1(3x + -5) 12x + (-1 * 6 + x * 6) = 1(3x + -5) 12x + (-6 + 6x) = 1(3x + -5) Reorder the terms: -6 + 12x + 6x = 1(3x + -5) Combine like terms: 12x + 6x = 18x -6 + 18x = 1(3x + -5) Reorder the terms: -6 + 18x = 1(-5 + 3x) -6 + 18x = (-5 * 1 + 3x * 1) -6 + 18x = (-5 + 3x) Solving -6 + 18x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 18x + -3x = -5 + 3x + -3x Combine like terms: 18x + -3x = 15x -6 + 15x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 15x = -5 + 0 -6 + 15x = -5 Add '6' to each side of the equation. -6 + 6 + 15x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = -5 + 6 15x = -5 + 6 Combine like terms: -5 + 6 = 1 15x = 1 Divide each side by '15'. x = 0.06666666667 Simplifying x = 0.06666666667
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