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Simplifying 0.13 + -0.01(x + 3) = 0.02(1 + -1x) Reorder the terms: 0.13 + -0.01(3 + x) = 0.02(1 + -1x) 0.13 + (3 * -0.01 + x * -0.01) = 0.02(1 + -1x) 0.13 + (-0.03 + -0.01x) = 0.02(1 + -1x) Combine like terms: 0.13 + -0.03 = 0.1 0.1 + -0.01x = 0.02(1 + -1x) 0.1 + -0.01x = (1 * 0.02 + -1x * 0.02) 0.1 + -0.01x = (0.02 + -0.02x) Solving 0.1 + -0.01x = 0.02 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 0.1 + -0.01x + 0.02x = 0.02 + -0.02x + 0.02x Combine like terms: -0.01x + 0.02x = 0.01x 0.1 + 0.01x = 0.02 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.1 + 0.01x = 0.02 + 0.00 0.1 + 0.01x = 0.02 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.01x = 0.02 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.01x = 0.02 + -0.1 0.01x = 0.02 + -0.1 Combine like terms: 0.02 + -0.1 = -0.08 0.01x = -0.08 Divide each side by '0.01'. x = -8 Simplifying x = -8
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