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Simplifying 3x + -3(4x + 2) = 6x + -1(x + -3) Reorder the terms: 3x + -3(2 + 4x) = 6x + -1(x + -3) 3x + (2 * -3 + 4x * -3) = 6x + -1(x + -3) 3x + (-6 + -12x) = 6x + -1(x + -3) Reorder the terms: -6 + 3x + -12x = 6x + -1(x + -3) Combine like terms: 3x + -12x = -9x -6 + -9x = 6x + -1(x + -3) Reorder the terms: -6 + -9x = 6x + -1(-3 + x) -6 + -9x = 6x + (-3 * -1 + x * -1) -6 + -9x = 6x + (3 + -1x) Reorder the terms: -6 + -9x = 3 + 6x + -1x Combine like terms: 6x + -1x = 5x -6 + -9x = 3 + 5x Solving -6 + -9x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -9x + -5x = 3 + 5x + -5x Combine like terms: -9x + -5x = -14x -6 + -14x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -14x = 3 + 0 -6 + -14x = 3 Add '6' to each side of the equation. -6 + 6 + -14x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 3 + 6 -14x = 3 + 6 Combine like terms: 3 + 6 = 9 -14x = 9 Divide each side by '-14'. x = -0.6428571429 Simplifying x = -0.6428571429
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