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Simplifying 7(3x + -3) + 3(11 + -4x) + -2(4x + 2) = -3 Reorder the terms: 7(-3 + 3x) + 3(11 + -4x) + -2(4x + 2) = -3 (-3 * 7 + 3x * 7) + 3(11 + -4x) + -2(4x + 2) = -3 (-21 + 21x) + 3(11 + -4x) + -2(4x + 2) = -3 -21 + 21x + (11 * 3 + -4x * 3) + -2(4x + 2) = -3 -21 + 21x + (33 + -12x) + -2(4x + 2) = -3 Reorder the terms: -21 + 21x + 33 + -12x + -2(2 + 4x) = -3 -21 + 21x + 33 + -12x + (2 * -2 + 4x * -2) = -3 -21 + 21x + 33 + -12x + (-4 + -8x) = -3 Reorder the terms: -21 + 33 + -4 + 21x + -12x + -8x = -3 Combine like terms: -21 + 33 = 12 12 + -4 + 21x + -12x + -8x = -3 Combine like terms: 12 + -4 = 8 8 + 21x + -12x + -8x = -3 Combine like terms: 21x + -12x = 9x 8 + 9x + -8x = -3 Combine like terms: 9x + -8x = 1x 8 + 1x = -3 Solving 8 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -3 + -8 1x = -3 + -8 Combine like terms: -3 + -8 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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