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Simplifying 0.5(x + 7) + -4(8x + -4) = 16 Reorder the terms: 0.5(7 + x) + -4(8x + -4) = 16 (7 * 0.5 + x * 0.5) + -4(8x + -4) = 16 (3.5 + 0.5x) + -4(8x + -4) = 16 Reorder the terms: 3.5 + 0.5x + -4(-4 + 8x) = 16 3.5 + 0.5x + (-4 * -4 + 8x * -4) = 16 3.5 + 0.5x + (16 + -32x) = 16 Reorder the terms: 3.5 + 16 + 0.5x + -32x = 16 Combine like terms: 3.5 + 16 = 19.5 19.5 + 0.5x + -32x = 16 Combine like terms: 0.5x + -32x = -31.5x 19.5 + -31.5x = 16 Solving 19.5 + -31.5x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.5' to each side of the equation. 19.5 + -19.5 + -31.5x = 16 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -31.5x = 16 + -19.5 -31.5x = 16 + -19.5 Combine like terms: 16 + -19.5 = -3.5 -31.5x = -3.5 Divide each side by '-31.5'. x = 0.1111111111 Simplifying x = 0.1111111111
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