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Simplifying 0.03x + 1.8 = 0.4(x + 5) * 0.02 Reorder the terms: 1.8 + 0.03x = 0.4(x + 5) * 0.02 Reorder the terms: 1.8 + 0.03x = 0.4(5 + x) * 0.02 Reorder the terms for easier multiplication: 1.8 + 0.03x = 0.4 * 0.02(5 + x) Multiply 0.4 * 0.02 1.8 + 0.03x = 0.008(5 + x) 1.8 + 0.03x = (5 * 0.008 + x * 0.008) 1.8 + 0.03x = (0.04 + 0.008x) Solving 1.8 + 0.03x = 0.04 + 0.008x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.008x' to each side of the equation. 1.8 + 0.03x + -0.008x = 0.04 + 0.008x + -0.008x Combine like terms: 0.03x + -0.008x = 0.022x 1.8 + 0.022x = 0.04 + 0.008x + -0.008x Combine like terms: 0.008x + -0.008x = 0.000 1.8 + 0.022x = 0.04 + 0.000 1.8 + 0.022x = 0.04 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.022x = 0.04 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.022x = 0.04 + -1.8 0.022x = 0.04 + -1.8 Combine like terms: 0.04 + -1.8 = -1.76 0.022x = -1.76 Divide each side by '0.022'. x = -80 Simplifying x = -80
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