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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 = 89 89 + 7x = 6(2x + -3) + -4 Reorder the terms: 89 + 7x = 6(-3 + 2x) + -4 89 + 7x = (-3 * 6 + 2x * 6) + -4 89 + 7x = (-18 + 12x) + -4 Reorder the terms: 89 + 7x = -18 + -4 + 12x Combine like terms: -18 + -4 = -22 89 + 7x = -22 + 12x Solving 89 + 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. 89 + 7x + -12x = -22 + 12x + -12x Combine like terms: 7x + -12x = -5x 89 + -5x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 89 + -5x = -22 + 0 89 + -5x = -22 Add '-89' to each side of the equation. 89 + -89 + -5x = -22 + -89 Combine like terms: 89 + -89 = 0 0 + -5x = -22 + -89 -5x = -22 + -89 Combine like terms: -22 + -89 = -111 -5x = -111 Divide each side by '-5'. x = 22.2 Simplifying x = 22.2
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