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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 = 30 0.5x = 30 Divide each side by '0.5'. x = 60 Simplifying x = 60
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