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Simplifying 0.12 + 0.01(x + 3) = 0.01(1 + -1x) Reorder the terms: 0.12 + 0.01(3 + x) = 0.01(1 + -1x) 0.12 + (3 * 0.01 + x * 0.01) = 0.01(1 + -1x) 0.12 + (0.03 + 0.01x) = 0.01(1 + -1x) Combine like terms: 0.12 + 0.03 = 0.15 0.15 + 0.01x = 0.01(1 + -1x) 0.15 + 0.01x = (1 * 0.01 + -1x * 0.01) 0.15 + 0.01x = (0.01 + -0.01x) Solving 0.15 + 0.01x = 0.01 + -0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.01x' to each side of the equation. 0.15 + 0.01x + 0.01x = 0.01 + -0.01x + 0.01x Combine like terms: 0.01x + 0.01x = 0.02x 0.15 + 0.02x = 0.01 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 0.15 + 0.02x = 0.01 + 0.00 0.15 + 0.02x = 0.01 Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.02x = 0.01 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.02x = 0.01 + -0.15 0.02x = 0.01 + -0.15 Combine like terms: 0.01 + -0.15 = -0.14 0.02x = -0.14 Divide each side by '0.02'. x = -7 Simplifying x = -7
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