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Simplifying 6.4(x + -5) = -3.2x + 40 Reorder the terms: 6.4(-5 + x) = -3.2x + 40 (-5 * 6.4 + x * 6.4) = -3.2x + 40 (-32 + 6.4x) = -3.2x + 40 Reorder the terms: -32 + 6.4x = 40 + -3.2x Solving -32 + 6.4x = 40 + -3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.2x' to each side of the equation. -32 + 6.4x + 3.2x = 40 + -3.2x + 3.2x Combine like terms: 6.4x + 3.2x = 9.6x -32 + 9.6x = 40 + -3.2x + 3.2x Combine like terms: -3.2x + 3.2x = 0.0 -32 + 9.6x = 40 + 0.0 -32 + 9.6x = 40 Add '32' to each side of the equation. -32 + 32 + 9.6x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 9.6x = 40 + 32 9.6x = 40 + 32 Combine like terms: 40 + 32 = 72 9.6x = 72 Divide each side by '9.6'. x = 7.5 Simplifying x = 7.5
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