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Simplifying 4(-5x + -2) = 3(4x + 10) Reorder the terms: 4(-2 + -5x) = 3(4x + 10) (-2 * 4 + -5x * 4) = 3(4x + 10) (-8 + -20x) = 3(4x + 10) Reorder the terms: -8 + -20x = 3(10 + 4x) -8 + -20x = (10 * 3 + 4x * 3) -8 + -20x = (30 + 12x) Solving -8 + -20x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + -20x + -12x = 30 + 12x + -12x Combine like terms: -20x + -12x = -32x -8 + -32x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -32x = 30 + 0 -8 + -32x = 30 Add '8' to each side of the equation. -8 + 8 + -32x = 30 + 8 Combine like terms: -8 + 8 = 0 0 + -32x = 30 + 8 -32x = 30 + 8 Combine like terms: 30 + 8 = 38 -32x = 38 Divide each side by '-32'. x = -1.1875 Simplifying x = -1.1875
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