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Simplifying 2 + -4(6x + 2) = 7(-3x + 4) + -8 Reorder the terms: 2 + -4(2 + 6x) = 7(-3x + 4) + -8 2 + (2 * -4 + 6x * -4) = 7(-3x + 4) + -8 2 + (-8 + -24x) = 7(-3x + 4) + -8 Combine like terms: 2 + -8 = -6 -6 + -24x = 7(-3x + 4) + -8 Reorder the terms: -6 + -24x = 7(4 + -3x) + -8 -6 + -24x = (4 * 7 + -3x * 7) + -8 -6 + -24x = (28 + -21x) + -8 Reorder the terms: -6 + -24x = 28 + -8 + -21x Combine like terms: 28 + -8 = 20 -6 + -24x = 20 + -21x Solving -6 + -24x = 20 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -6 + -24x + 21x = 20 + -21x + 21x Combine like terms: -24x + 21x = -3x -6 + -3x = 20 + -21x + 21x Combine like terms: -21x + 21x = 0 -6 + -3x = 20 + 0 -6 + -3x = 20 Add '6' to each side of the equation. -6 + 6 + -3x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 20 + 6 -3x = 20 + 6 Combine like terms: 20 + 6 = 26 -3x = 26 Divide each side by '-3'. x = -8.666666667 Simplifying x = -8.666666667
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