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Simplifying 3(7x + -5) + 4(16 + -3x) + -4(2x + 1) = -1 Reorder the terms: 3(-5 + 7x) + 4(16 + -3x) + -4(2x + 1) = -1 (-5 * 3 + 7x * 3) + 4(16 + -3x) + -4(2x + 1) = -1 (-15 + 21x) + 4(16 + -3x) + -4(2x + 1) = -1 -15 + 21x + (16 * 4 + -3x * 4) + -4(2x + 1) = -1 -15 + 21x + (64 + -12x) + -4(2x + 1) = -1 Reorder the terms: -15 + 21x + 64 + -12x + -4(1 + 2x) = -1 -15 + 21x + 64 + -12x + (1 * -4 + 2x * -4) = -1 -15 + 21x + 64 + -12x + (-4 + -8x) = -1 Reorder the terms: -15 + 64 + -4 + 21x + -12x + -8x = -1 Combine like terms: -15 + 64 = 49 49 + -4 + 21x + -12x + -8x = -1 Combine like terms: 49 + -4 = 45 45 + 21x + -12x + -8x = -1 Combine like terms: 21x + -12x = 9x 45 + 9x + -8x = -1 Combine like terms: 9x + -8x = 1x 45 + 1x = -1 Solving 45 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1x = -1 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = -1 + -45 1x = -1 + -45 Combine like terms: -1 + -45 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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