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Simplifying 2(24x + -3.2) = 4(10x + 4.5) Reorder the terms: 2(-3.2 + 24x) = 4(10x + 4.5) (-3.2 * 2 + 24x * 2) = 4(10x + 4.5) (-6.4 + 48x) = 4(10x + 4.5) Reorder the terms: -6.4 + 48x = 4(4.5 + 10x) -6.4 + 48x = (4.5 * 4 + 10x * 4) -6.4 + 48x = (18 + 40x) Solving -6.4 + 48x = 18 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -6.4 + 48x + -40x = 18 + 40x + -40x Combine like terms: 48x + -40x = 8x -6.4 + 8x = 18 + 40x + -40x Combine like terms: 40x + -40x = 0 -6.4 + 8x = 18 + 0 -6.4 + 8x = 18 Add '6.4' to each side of the equation. -6.4 + 6.4 + 8x = 18 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 8x = 18 + 6.4 8x = 18 + 6.4 Combine like terms: 18 + 6.4 = 24.4 8x = 24.4 Divide each side by '8'. x = 3.05 Simplifying x = 3.05
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