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Simplifying 2 + 4(3x + -2) = 4x + -2 + -7x Reorder the terms: 2 + 4(-2 + 3x) = 4x + -2 + -7x 2 + (-2 * 4 + 3x * 4) = 4x + -2 + -7x 2 + (-8 + 12x) = 4x + -2 + -7x Combine like terms: 2 + -8 = -6 -6 + 12x = 4x + -2 + -7x Reorder the terms: -6 + 12x = -2 + 4x + -7x Combine like terms: 4x + -7x = -3x -6 + 12x = -2 + -3x Solving -6 + 12x = -2 + -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 + 12x + 3x = -2 + -3x + 3x Combine like terms: 12x + 3x = 15x -6 + 15x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 15x = -2 + 0 -6 + 15x = -2 Add '6' to each side of the equation. -6 + 6 + 15x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = -2 + 6 15x = -2 + 6 Combine like terms: -2 + 6 = 4 15x = 4 Divide each side by '15'. x = 0.2666666667 Simplifying x = 0.2666666667
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