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Simplifying -2(4x + -3) + -4(5x + 2) = 3(x + -8) Reorder the terms: -2(-3 + 4x) + -4(5x + 2) = 3(x + -8) (-3 * -2 + 4x * -2) + -4(5x + 2) = 3(x + -8) (6 + -8x) + -4(5x + 2) = 3(x + -8) Reorder the terms: 6 + -8x + -4(2 + 5x) = 3(x + -8) 6 + -8x + (2 * -4 + 5x * -4) = 3(x + -8) 6 + -8x + (-8 + -20x) = 3(x + -8) Reorder the terms: 6 + -8 + -8x + -20x = 3(x + -8) Combine like terms: 6 + -8 = -2 -2 + -8x + -20x = 3(x + -8) Combine like terms: -8x + -20x = -28x -2 + -28x = 3(x + -8) Reorder the terms: -2 + -28x = 3(-8 + x) -2 + -28x = (-8 * 3 + x * 3) -2 + -28x = (-24 + 3x) Solving -2 + -28x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -28x + -3x = -24 + 3x + -3x Combine like terms: -28x + -3x = -31x -2 + -31x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -31x = -24 + 0 -2 + -31x = -24 Add '2' to each side of the equation. -2 + 2 + -31x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -31x = -24 + 2 -31x = -24 + 2 Combine like terms: -24 + 2 = -22 -31x = -22 Divide each side by '-31'. x = 0.7096774194 Simplifying x = 0.7096774194
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