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Simplifying 0.5x + -0.3(10 + -5x) = -6(x + -8) 0.5x + (10 * -0.3 + -5x * -0.3) = -6(x + -8) 0.5x + (-3 + 1.5x) = -6(x + -8) Reorder the terms: -3 + 0.5x + 1.5x = -6(x + -8) Combine like terms: 0.5x + 1.5x = 2x -3 + 2x = -6(x + -8) Reorder the terms: -3 + 2x = -6(-8 + x) -3 + 2x = (-8 * -6 + x * -6) -3 + 2x = (48 + -6x) Solving -3 + 2x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 2x + 6x = 48 + -6x + 6x Combine like terms: 2x + 6x = 8x -3 + 8x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 8x = 48 + 0 -3 + 8x = 48 Add '3' to each side of the equation. -3 + 3 + 8x = 48 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 48 + 3 8x = 48 + 3 Combine like terms: 48 + 3 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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