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Simplifying 0.02x + 0.03(x + 4) = 0.12(x + 1) + -0.7x Reorder the terms: 0.02x + 0.03(4 + x) = 0.12(x + 1) + -0.7x 0.02x + (4 * 0.03 + x * 0.03) = 0.12(x + 1) + -0.7x 0.02x + (0.12 + 0.03x) = 0.12(x + 1) + -0.7x Reorder the terms: 0.12 + 0.02x + 0.03x = 0.12(x + 1) + -0.7x Combine like terms: 0.02x + 0.03x = 0.05x 0.12 + 0.05x = 0.12(x + 1) + -0.7x Reorder the terms: 0.12 + 0.05x = 0.12(1 + x) + -0.7x 0.12 + 0.05x = (1 * 0.12 + x * 0.12) + -0.7x 0.12 + 0.05x = (0.12 + 0.12x) + -0.7x Combine like terms: 0.12x + -0.7x = -0.58x 0.12 + 0.05x = 0.12 + -0.58x Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.05x = 0.12 + -0.12 + -0.58x Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.05x = 0.12 + -0.12 + -0.58x 0.05x = 0.12 + -0.12 + -0.58x Combine like terms: 0.12 + -0.12 = 0.00 0.05x = 0.00 + -0.58x 0.05x = -0.58x Solving 0.05x = -0.58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.58x' to each side of the equation. 0.05x + 0.58x = -0.58x + 0.58x Combine like terms: 0.05x + 0.58x = 0.63x 0.63x = -0.58x + 0.58x Combine like terms: -0.58x + 0.58x = 0.00 0.63x = 0.00 Divide each side by '0.63'. x = 0 Simplifying x = 0
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