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Simplifying 0.11 + -0.02(x + 2) = 0.03(1 + -1x) Reorder the terms: 0.11 + -0.02(2 + x) = 0.03(1 + -1x) 0.11 + (2 * -0.02 + x * -0.02) = 0.03(1 + -1x) 0.11 + (-0.04 + -0.02x) = 0.03(1 + -1x) Combine like terms: 0.11 + -0.04 = 0.07 0.07 + -0.02x = 0.03(1 + -1x) 0.07 + -0.02x = (1 * 0.03 + -1x * 0.03) 0.07 + -0.02x = (0.03 + -0.03x) Solving 0.07 + -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. 0.07 + -0.02x + 0.03x = 0.03 + -0.03x + 0.03x Combine like terms: -0.02x + 0.03x = 0.01x 0.07 + 0.01x = 0.03 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.07 + 0.01x = 0.03 + 0.00 0.07 + 0.01x = 0.03 Add '-0.07' to each side of the equation. 0.07 + -0.07 + 0.01x = 0.03 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + 0.01x = 0.03 + -0.07 0.01x = 0.03 + -0.07 Combine like terms: 0.03 + -0.07 = -0.04 0.01x = -0.04 Divide each side by '0.01'. x = -4 Simplifying x = -4
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