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Simplifying 3(7x + -5) + 3(10 + -4x) + -4(2x + 3) = -2 Reorder the terms: 3(-5 + 7x) + 3(10 + -4x) + -4(2x + 3) = -2 (-5 * 3 + 7x * 3) + 3(10 + -4x) + -4(2x + 3) = -2 (-15 + 21x) + 3(10 + -4x) + -4(2x + 3) = -2 -15 + 21x + (10 * 3 + -4x * 3) + -4(2x + 3) = -2 -15 + 21x + (30 + -12x) + -4(2x + 3) = -2 Reorder the terms: -15 + 21x + 30 + -12x + -4(3 + 2x) = -2 -15 + 21x + 30 + -12x + (3 * -4 + 2x * -4) = -2 -15 + 21x + 30 + -12x + (-12 + -8x) = -2 Reorder the terms: -15 + 30 + -12 + 21x + -12x + -8x = -2 Combine like terms: -15 + 30 = 15 15 + -12 + 21x + -12x + -8x = -2 Combine like terms: 15 + -12 = 3 3 + 21x + -12x + -8x = -2 Combine like terms: 21x + -12x = 9x 3 + 9x + -8x = -2 Combine like terms: 9x + -8x = 1x 3 + 1x = -2 Solving 3 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -2 + -3 1x = -2 + -3 Combine like terms: -2 + -3 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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