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Simplifying -5(2x + -0.3) + 0.5(4x + 3) = -64 Reorder the terms: -5(-0.3 + 2x) + 0.5(4x + 3) = -64 (-0.3 * -5 + 2x * -5) + 0.5(4x + 3) = -64 (1.5 + -10x) + 0.5(4x + 3) = -64 Reorder the terms: 1.5 + -10x + 0.5(3 + 4x) = -64 1.5 + -10x + (3 * 0.5 + 4x * 0.5) = -64 1.5 + -10x + (1.5 + 2x) = -64 Reorder the terms: 1.5 + 1.5 + -10x + 2x = -64 Combine like terms: 1.5 + 1.5 = 3 3 + -10x + 2x = -64 Combine like terms: -10x + 2x = -8x 3 + -8x = -64 Solving 3 + -8x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = -64 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -64 + -3 -8x = -64 + -3 Combine like terms: -64 + -3 = -67 -8x = -67 Divide each side by '-8'. x = 8.375 Simplifying x = 8.375
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