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Simplifying -5(2x + -3) + 0.5(4x + 3) = -64 Reorder the terms: -5(-3 + 2x) + 0.5(4x + 3) = -64 (-3 * -5 + 2x * -5) + 0.5(4x + 3) = -64 (15 + -10x) + 0.5(4x + 3) = -64 Reorder the terms: 15 + -10x + 0.5(3 + 4x) = -64 15 + -10x + (3 * 0.5 + 4x * 0.5) = -64 15 + -10x + (1.5 + 2x) = -64 Reorder the terms: 15 + 1.5 + -10x + 2x = -64 Combine like terms: 15 + 1.5 = 16.5 16.5 + -10x + 2x = -64 Combine like terms: -10x + 2x = -8x 16.5 + -8x = -64 Solving 16.5 + -8x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.5' to each side of the equation. 16.5 + -16.5 + -8x = -64 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + -8x = -64 + -16.5 -8x = -64 + -16.5 Combine like terms: -64 + -16.5 = -80.5 -8x = -80.5 Divide each side by '-8'. x = 10.0625 Simplifying x = 10.0625
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