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Simplifying -0.15(40) + 0.6 = 0.3(40 + x) Multiply -0.15 * 40 -6 + 0.6 = 0.3(40 + x) Combine like terms: -6 + 0.6 = -5.4 -5.4 = 0.3(40 + x) -5.4 = (40 * 0.3 + x * 0.3) -5.4 = (12 + 0.3x) Solving -5.4 = 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. -5.4 + -0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -5.4 + -0.3x = 12 + 0.0 -5.4 + -0.3x = 12 Add '5.4' to each side of the equation. -5.4 + 5.4 + -0.3x = 12 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -0.3x = 12 + 5.4 -0.3x = 12 + 5.4 Combine like terms: 12 + 5.4 = 17.4 -0.3x = 17.4 Divide each side by '-0.3'. x = -58 Simplifying x = -58
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