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Simplifying 5 + -7(2x + -3(x + -4)) = 6(2x + -3) + -4 Reorder the terms: 5 + -7(2x + -3(-4 + x)) = 6(2x + -3) + -4 5 + -7(2x + (-4 * -3 + x * -3)) = 6(2x + -3) + -4 5 + -7(2x + (12 + -3x)) = 6(2x + -3) + -4 Reorder the terms: 5 + -7(12 + 2x + -3x) = 6(2x + -3) + -4 Combine like terms: 2x + -3x = -1x 5 + -7(12 + -1x) = 6(2x + -3) + -4 5 + (12 * -7 + -1x * -7) = 6(2x + -3) + -4 5 + (-84 + 7x) = 6(2x + -3) + -4 Combine like terms: 5 + -84 = -79 -79 + 7x = 6(2x + -3) + -4 Reorder the terms: -79 + 7x = 6(-3 + 2x) + -4 -79 + 7x = (-3 * 6 + 2x * 6) + -4 -79 + 7x = (-18 + 12x) + -4 Reorder the terms: -79 + 7x = -18 + -4 + 12x Combine like terms: -18 + -4 = -22 -79 + 7x = -22 + 12x Solving -79 + 7x = -22 + 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. -79 + 7x + -12x = -22 + 12x + -12x Combine like terms: 7x + -12x = -5x -79 + -5x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 -79 + -5x = -22 + 0 -79 + -5x = -22 Add '79' to each side of the equation. -79 + 79 + -5x = -22 + 79 Combine like terms: -79 + 79 = 0 0 + -5x = -22 + 79 -5x = -22 + 79 Combine like terms: -22 + 79 = 57 -5x = 57 Divide each side by '-5'. x = -11.4 Simplifying x = -11.4
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