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Simplifying 0.5(8x + -4) = 3x + -9 Reorder the terms: 0.5(-4 + 8x) = 3x + -9 (-4 * 0.5 + 8x * 0.5) = 3x + -9 (-2 + 4x) = 3x + -9 Reorder the terms: -2 + 4x = -9 + 3x Solving -2 + 4x = -9 + 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. -2 + 4x + -3x = -9 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = -9 + 0 -2 + 1x = -9 Add '2' to each side of the equation. -2 + 2 + 1x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -9 + 2 1x = -9 + 2 Combine like terms: -9 + 2 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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