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Simplifying 0.5(10x + -8) = 3x + -8 + -7x Reorder the terms: 0.5(-8 + 10x) = 3x + -8 + -7x (-8 * 0.5 + 10x * 0.5) = 3x + -8 + -7x (-4 + 5x) = 3x + -8 + -7x Reorder the terms: -4 + 5x = -8 + 3x + -7x Combine like terms: 3x + -7x = -4x -4 + 5x = -8 + -4x Solving -4 + 5x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 5x + 4x = -8 + -4x + 4x Combine like terms: 5x + 4x = 9x -4 + 9x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 9x = -8 + 0 -4 + 9x = -8 Add '4' to each side of the equation. -4 + 4 + 9x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = -8 + 4 9x = -8 + 4 Combine like terms: -8 + 4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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