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Simplifying 3(7x + -3) + 4(18 + 2x) + -4(3x + 2) = -5 Reorder the terms: 3(-3 + 7x) + 4(18 + 2x) + -4(3x + 2) = -5 (-3 * 3 + 7x * 3) + 4(18 + 2x) + -4(3x + 2) = -5 (-9 + 21x) + 4(18 + 2x) + -4(3x + 2) = -5 -9 + 21x + (18 * 4 + 2x * 4) + -4(3x + 2) = -5 -9 + 21x + (72 + 8x) + -4(3x + 2) = -5 Reorder the terms: -9 + 21x + 72 + 8x + -4(2 + 3x) = -5 -9 + 21x + 72 + 8x + (2 * -4 + 3x * -4) = -5 -9 + 21x + 72 + 8x + (-8 + -12x) = -5 Reorder the terms: -9 + 72 + -8 + 21x + 8x + -12x = -5 Combine like terms: -9 + 72 = 63 63 + -8 + 21x + 8x + -12x = -5 Combine like terms: 63 + -8 = 55 55 + 21x + 8x + -12x = -5 Combine like terms: 21x + 8x = 29x 55 + 29x + -12x = -5 Combine like terms: 29x + -12x = 17x 55 + 17x = -5 Solving 55 + 17x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 17x = -5 + -55 Combine like terms: 55 + -55 = 0 0 + 17x = -5 + -55 17x = -5 + -55 Combine like terms: -5 + -55 = -60 17x = -60 Divide each side by '17'. x = -3.529411765 Simplifying x = -3.529411765
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