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Simplifying 0.18 + -0.02(x + 3) = 0.03(1 + -1x) Reorder the terms: 0.18 + -0.02(3 + x) = 0.03(1 + -1x) 0.18 + (3 * -0.02 + x * -0.02) = 0.03(1 + -1x) 0.18 + (-0.06 + -0.02x) = 0.03(1 + -1x) Combine like terms: 0.18 + -0.06 = 0.12 0.12 + -0.02x = 0.03(1 + -1x) 0.12 + -0.02x = (1 * 0.03 + -1x * 0.03) 0.12 + -0.02x = (0.03 + -0.03x) Solving 0.12 + -0.02x = 0.03 + -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. 0.12 + -0.02x + 0.03x = 0.03 + -0.03x + 0.03x Combine like terms: -0.02x + 0.03x = 0.01x 0.12 + 0.01x = 0.03 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.12 + 0.01x = 0.03 + 0.00 0.12 + 0.01x = 0.03 Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.01x = 0.03 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.01x = 0.03 + -0.12 0.01x = 0.03 + -0.12 Combine like terms: 0.03 + -0.12 = -0.09 0.01x = -0.09 Divide each side by '0.01'. x = -9 Simplifying x = -9
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