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Simplifying 6.5(x + -3) = 2.4(3 + -8) Reorder the terms: 6.5(-3 + x) = 2.4(3 + -8) (-3 * 6.5 + x * 6.5) = 2.4(3 + -8) (-19.5 + 6.5x) = 2.4(3 + -8) Combine like terms: 3 + -8 = -5 -19.5 + 6.5x = 2.4(-5) Multiply 2.4 * -5 -19.5 + 6.5x = -12 Solving -19.5 + 6.5x = -12 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 + 6.5x = -12 + 19.5 Combine like terms: -19.5 + 19.5 = 0.0 0.0 + 6.5x = -12 + 19.5 6.5x = -12 + 19.5 Combine like terms: -12 + 19.5 = 7.5 6.5x = 7.5 Divide each side by '6.5'. x = 1.153846154 Simplifying x = 1.153846154
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