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Simplifying 0.04(5 + 2x) + -0.05 = 3(0.03x + 0.07) (5 * 0.04 + 2x * 0.04) + -0.05 = 3(0.03x + 0.07) (0.2 + 0.08x) + -0.05 = 3(0.03x + 0.07) Reorder the terms: 0.2 + -0.05 + 0.08x = 3(0.03x + 0.07) Combine like terms: 0.2 + -0.05 = 0.15 0.15 + 0.08x = 3(0.03x + 0.07) Reorder the terms: 0.15 + 0.08x = 3(0.07 + 0.03x) 0.15 + 0.08x = (0.07 * 3 + 0.03x * 3) 0.15 + 0.08x = (0.21 + 0.09x) Solving 0.15 + 0.08x = 0.21 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 0.15 + 0.08x + -0.09x = 0.21 + 0.09x + -0.09x Combine like terms: 0.08x + -0.09x = -0.01x 0.15 + -0.01x = 0.21 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 0.15 + -0.01x = 0.21 + 0.00 0.15 + -0.01x = 0.21 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.01x = 0.21 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.01x = 0.21 + -0.15 -0.01x = 0.21 + -0.15 Combine like terms: 0.21 + -0.15 = 0.06 -0.01x = 0.06 Divide each side by '-0.01'. x = -6 Simplifying x = -6
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