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Simplifying 0.45(40) + 0.8x = 0.3(40 + x) Multiply 0.45 * 40 18 + 0.8x = 0.3(40 + x) 18 + 0.8x = (40 * 0.3 + x * 0.3) 18 + 0.8x = (12 + 0.3x) Solving 18 + 0.8x = 12 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 18 + 0.8x + -0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.8x + -0.3x = 0.5x 18 + 0.5x = 12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 18 + 0.5x = 12 + 0.0 18 + 0.5x = 12 Add '-18' to each side of the equation. 18 + -18 + 0.5x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 0.5x = 12 + -18 0.5x = 12 + -18 Combine like terms: 12 + -18 = -6 0.5x = -6 Divide each side by '0.5'. x = -12 Simplifying x = -12
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