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Simplifying -3(4x + 3) + 5(-8x + -2) = -4x + -8x Reorder the terms: -3(3 + 4x) + 5(-8x + -2) = -4x + -8x (3 * -3 + 4x * -3) + 5(-8x + -2) = -4x + -8x (-9 + -12x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -9 + -12x + 5(-2 + -8x) = -4x + -8x -9 + -12x + (-2 * 5 + -8x * 5) = -4x + -8x -9 + -12x + (-10 + -40x) = -4x + -8x Reorder the terms: -9 + -10 + -12x + -40x = -4x + -8x Combine like terms: -9 + -10 = -19 -19 + -12x + -40x = -4x + -8x Combine like terms: -12x + -40x = -52x -19 + -52x = -4x + -8x Combine like terms: -4x + -8x = -12x -19 + -52x = -12x Solving -19 + -52x = -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. -19 + -52x + 12x = -12x + 12x Combine like terms: -52x + 12x = -40x -19 + -40x = -12x + 12x Combine like terms: -12x + 12x = 0 -19 + -40x = 0 Add '19' to each side of the equation. -19 + 19 + -40x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -40x = 0 + 19 -40x = 0 + 19 Combine like terms: 0 + 19 = 19 -40x = 19 Divide each side by '-40'. x = -0.475 Simplifying x = -0.475
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