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Simplifying 0.5(4x + -10) = 0.3(6x + 12) Reorder the terms: 0.5(-10 + 4x) = 0.3(6x + 12) (-10 * 0.5 + 4x * 0.5) = 0.3(6x + 12) (-5 + 2x) = 0.3(6x + 12) Reorder the terms: -5 + 2x = 0.3(12 + 6x) -5 + 2x = (12 * 0.3 + 6x * 0.3) -5 + 2x = (3.6 + 1.8x) Solving -5 + 2x = 3.6 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. -5 + 2x + -1.8x = 3.6 + 1.8x + -1.8x Combine like terms: 2x + -1.8x = 0.2x -5 + 0.2x = 3.6 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 -5 + 0.2x = 3.6 + 0.0 -5 + 0.2x = 3.6 Add '5' to each side of the equation. -5 + 5 + 0.2x = 3.6 + 5 Combine like terms: -5 + 5 = 0 0 + 0.2x = 3.6 + 5 0.2x = 3.6 + 5 Combine like terms: 3.6 + 5 = 8.6 0.2x = 8.6 Divide each side by '0.2'. x = 43 Simplifying x = 43
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