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Simplifying 0.12(24) + 0.03x = 0.006(24 + x) Multiply 0.12 * 24 2.88 + 0.03x = 0.006(24 + x) 2.88 + 0.03x = (24 * 0.006 + x * 0.006) 2.88 + 0.03x = (0.144 + 0.006x) Solving 2.88 + 0.03x = 0.144 + 0.006x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.006x' to each side of the equation. 2.88 + 0.03x + -0.006x = 0.144 + 0.006x + -0.006x Combine like terms: 0.03x + -0.006x = 0.024x 2.88 + 0.024x = 0.144 + 0.006x + -0.006x Combine like terms: 0.006x + -0.006x = 0.000 2.88 + 0.024x = 0.144 + 0.000 2.88 + 0.024x = 0.144 Add '-2.88' to each side of the equation. 2.88 + -2.88 + 0.024x = 0.144 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + 0.024x = 0.144 + -2.88 0.024x = 0.144 + -2.88 Combine like terms: 0.144 + -2.88 = -2.736 0.024x = -2.736 Divide each side by '0.024'. x = -114 Simplifying x = -114
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