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Simplifying 3 + -5(3x + 2) = 12x + 2 Reorder the terms: 3 + -5(2 + 3x) = 12x + 2 3 + (2 * -5 + 3x * -5) = 12x + 2 3 + (-10 + -15x) = 12x + 2 Combine like terms: 3 + -10 = -7 -7 + -15x = 12x + 2 Reorder the terms: -7 + -15x = 2 + 12x Solving -7 + -15x = 2 + 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 + -15x + -12x = 2 + 12x + -12x Combine like terms: -15x + -12x = -27x -7 + -27x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -27x = 2 + 0 -7 + -27x = 2 Add '7' to each side of the equation. -7 + 7 + -27x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -27x = 2 + 7 -27x = 2 + 7 Combine like terms: 2 + 7 = 9 -27x = 9 Divide each side by '-27'. x = -0.3333333333 Simplifying x = -0.3333333333
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