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Simplifying 7.5 = x(0.7) + 8(0.3) Reorder the terms for easier multiplication: 7.5 = 0.7x + 8(0.3) Multiply 8 * 0.3 7.5 = 0.7x + 2.4 Reorder the terms: 7.5 = 2.4 + 0.7x Solving 7.5 = 2.4 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 7.5 + -0.7x = 2.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 7.5 + -0.7x = 2.4 + 0.0 7.5 + -0.7x = 2.4 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.7x = 2.4 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.7x = 2.4 + -7.5 -0.7x = 2.4 + -7.5 Combine like terms: 2.4 + -7.5 = -5.1 -0.7x = -5.1 Divide each side by '-0.7'. x = 7.285714286 Simplifying x = 7.285714286
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