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Simplifying 3(7x + -5) + 4(11 + -3x) + -4(2x + 1) = -2 Reorder the terms: 3(-5 + 7x) + 4(11 + -3x) + -4(2x + 1) = -2 (-5 * 3 + 7x * 3) + 4(11 + -3x) + -4(2x + 1) = -2 (-15 + 21x) + 4(11 + -3x) + -4(2x + 1) = -2 -15 + 21x + (11 * 4 + -3x * 4) + -4(2x + 1) = -2 -15 + 21x + (44 + -12x) + -4(2x + 1) = -2 Reorder the terms: -15 + 21x + 44 + -12x + -4(1 + 2x) = -2 -15 + 21x + 44 + -12x + (1 * -4 + 2x * -4) = -2 -15 + 21x + 44 + -12x + (-4 + -8x) = -2 Reorder the terms: -15 + 44 + -4 + 21x + -12x + -8x = -2 Combine like terms: -15 + 44 = 29 29 + -4 + 21x + -12x + -8x = -2 Combine like terms: 29 + -4 = 25 25 + 21x + -12x + -8x = -2 Combine like terms: 21x + -12x = 9x 25 + 9x + -8x = -2 Combine like terms: 9x + -8x = 1x 25 + 1x = -2 Solving 25 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1x = -2 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -2 + -25 1x = -2 + -25 Combine like terms: -2 + -25 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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