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Simplifying 5x + -0.5(3x + 8) = -4 + 3x Reorder the terms: 5x + -0.5(8 + 3x) = -4 + 3x 5x + (8 * -0.5 + 3x * -0.5) = -4 + 3x 5x + (-4 + -1.5x) = -4 + 3x Reorder the terms: -4 + 5x + -1.5x = -4 + 3x Combine like terms: 5x + -1.5x = 3.5x -4 + 3.5x = -4 + 3x Add '4' to each side of the equation. -4 + 4 + 3.5x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + 3.5x = -4 + 4 + 3x 3.5x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 3.5x = 0 + 3x 3.5x = 3x Solving 3.5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3.5x + -3x = 3x + -3x Combine like terms: 3.5x + -3x = 0.5x 0.5x = 3x + -3x Combine like terms: 3x + -3x = 0 0.5x = 0 Divide each side by '0.5'. x = 0 Simplifying x = 0
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