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Simplifying -3x + -4(2 + 3x) = 12 + 2x -3x + (2 * -4 + 3x * -4) = 12 + 2x -3x + (-8 + -12x) = 12 + 2x Reorder the terms: -8 + -3x + -12x = 12 + 2x Combine like terms: -3x + -12x = -15x -8 + -15x = 12 + 2x Solving -8 + -15x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -15x + -2x = 12 + 2x + -2x Combine like terms: -15x + -2x = -17x -8 + -17x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -17x = 12 + 0 -8 + -17x = 12 Add '8' to each side of the equation. -8 + 8 + -17x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -17x = 12 + 8 -17x = 12 + 8 Combine like terms: 12 + 8 = 20 -17x = 20 Divide each side by '-17'. x = -1.176470588 Simplifying x = -1.176470588
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