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Simplifying 0.11 + 0.01(x + 1) = 0.03(2 + -1x) Reorder the terms: 0.11 + 0.01(1 + x) = 0.03(2 + -1x) 0.11 + (1 * 0.01 + x * 0.01) = 0.03(2 + -1x) 0.11 + (0.01 + 0.01x) = 0.03(2 + -1x) Combine like terms: 0.11 + 0.01 = 0.12 0.12 + 0.01x = 0.03(2 + -1x) 0.12 + 0.01x = (2 * 0.03 + -1x * 0.03) 0.12 + 0.01x = (0.06 + -0.03x) Solving 0.12 + 0.01x = 0.06 + -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 + 0.01x + 0.03x = 0.06 + -0.03x + 0.03x Combine like terms: 0.01x + 0.03x = 0.04x 0.12 + 0.04x = 0.06 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.12 + 0.04x = 0.06 + 0.00 0.12 + 0.04x = 0.06 Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.04x = 0.06 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.04x = 0.06 + -0.12 0.04x = 0.06 + -0.12 Combine like terms: 0.06 + -0.12 = -0.06 0.04x = -0.06 Divide each side by '0.04'. x = -1.5 Simplifying x = -1.5
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