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Simplifying 3(5x + -4) + -4(2x + -8) = 2 Reorder the terms: 3(-4 + 5x) + -4(2x + -8) = 2 (-4 * 3 + 5x * 3) + -4(2x + -8) = 2 (-12 + 15x) + -4(2x + -8) = 2 Reorder the terms: -12 + 15x + -4(-8 + 2x) = 2 -12 + 15x + (-8 * -4 + 2x * -4) = 2 -12 + 15x + (32 + -8x) = 2 Reorder the terms: -12 + 32 + 15x + -8x = 2 Combine like terms: -12 + 32 = 20 20 + 15x + -8x = 2 Combine like terms: 15x + -8x = 7x 20 + 7x = 2 Solving 20 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 2 + -20 7x = 2 + -20 Combine like terms: 2 + -20 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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