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Simplifying 4(2 + -3) + -5(6 + -5x) = 8(2 + -4x) Combine like terms: 2 + -3 = -1 4(-1) + -5(6 + -5x) = 8(2 + -4x) Multiply 4 * -1 -4 + -5(6 + -5x) = 8(2 + -4x) -4 + (6 * -5 + -5x * -5) = 8(2 + -4x) -4 + (-30 + 25x) = 8(2 + -4x) Combine like terms: -4 + -30 = -34 -34 + 25x = 8(2 + -4x) -34 + 25x = (2 * 8 + -4x * 8) -34 + 25x = (16 + -32x) Solving -34 + 25x = 16 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -34 + 25x + 32x = 16 + -32x + 32x Combine like terms: 25x + 32x = 57x -34 + 57x = 16 + -32x + 32x Combine like terms: -32x + 32x = 0 -34 + 57x = 16 + 0 -34 + 57x = 16 Add '34' to each side of the equation. -34 + 34 + 57x = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 57x = 16 + 34 57x = 16 + 34 Combine like terms: 16 + 34 = 50 57x = 50 Divide each side by '57'. x = 0.8771929825 Simplifying x = 0.8771929825
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