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Simplifying -0.15(40) + 0.6x = 0.3(40 + x) Multiply -0.15 * 40 -6 + 0.6x = 0.3(40 + x) -6 + 0.6x = (40 * 0.3 + x * 0.3) -6 + 0.6x = (12 + 0.3x) Solving -6 + 0.6x = 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. -6 + 0.6x + -0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x -6 + 0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -6 + 0.3x = 12 + 0.0 -6 + 0.3x = 12 Add '6' to each side of the equation. -6 + 6 + 0.3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 0.3x = 12 + 6 0.3x = 12 + 6 Combine like terms: 12 + 6 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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