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Simplifying -0.3(40) + 0.8x = 0.4(40 + x) Multiply -0.3 * 40 -12 + 0.8x = 0.4(40 + x) -12 + 0.8x = (40 * 0.4 + x * 0.4) -12 + 0.8x = (16 + 0.4x) Solving -12 + 0.8x = 16 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -12 + 0.8x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -12 + 0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -12 + 0.4x = 16 + 0.0 -12 + 0.4x = 16 Add '12' to each side of the equation. -12 + 12 + 0.4x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 0.4x = 16 + 12 0.4x = 16 + 12 Combine like terms: 16 + 12 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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