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Simplifying 0.4(5 + 2x) + -0.5 = 3(0.3 + 0.7) (5 * 0.4 + 2x * 0.4) + -0.5 = 3(0.3 + 0.7) (2 + 0.8x) + -0.5 = 3(0.3 + 0.7) Reorder the terms: 2 + -0.5 + 0.8x = 3(0.3 + 0.7) Combine like terms: 2 + -0.5 = 1.5 1.5 + 0.8x = 3(0.3 + 0.7) Combine like terms: 0.3 + 0.7 = 1 1.5 + 0.8x = 3(1) Multiply 3 * 1 1.5 + 0.8x = 3 Solving 1.5 + 0.8x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.8x = 3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.8x = 3 + -1.5 0.8x = 3 + -1.5 Combine like terms: 3 + -1.5 = 1.5 0.8x = 1.5 Divide each side by '0.8'. x = 1.875 Simplifying x = 1.875
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