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Simplifying 5 + -1(3x + 6) = 12x + 6 Reorder the terms: 5 + -1(6 + 3x) = 12x + 6 5 + (6 * -1 + 3x * -1) = 12x + 6 5 + (-6 + -3x) = 12x + 6 Combine like terms: 5 + -6 = -1 -1 + -3x = 12x + 6 Reorder the terms: -1 + -3x = 6 + 12x Solving -1 + -3x = 6 + 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. -1 + -3x + -12x = 6 + 12x + -12x Combine like terms: -3x + -12x = -15x -1 + -15x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -15x = 6 + 0 -1 + -15x = 6 Add '1' to each side of the equation. -1 + 1 + -15x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -15x = 6 + 1 -15x = 6 + 1 Combine like terms: 6 + 1 = 7 -15x = 7 Divide each side by '-15'. x = -0.4666666667 Simplifying x = -0.4666666667
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