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Simplifying 0.26 + -0.02(x + 2) = -0.03(1 + x) Reorder the terms: 0.26 + -0.02(2 + x) = -0.03(1 + x) 0.26 + (2 * -0.02 + x * -0.02) = -0.03(1 + x) 0.26 + (-0.04 + -0.02x) = -0.03(1 + x) Combine like terms: 0.26 + -0.04 = 0.22 0.22 + -0.02x = -0.03(1 + x) 0.22 + -0.02x = (1 * -0.03 + x * -0.03) 0.22 + -0.02x = (-0.03 + -0.03x) Solving 0.22 + -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. 0.22 + -0.02x + 0.03x = -0.03 + -0.03x + 0.03x Combine like terms: -0.02x + 0.03x = 0.01x 0.22 + 0.01x = -0.03 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.22 + 0.01x = -0.03 + 0.00 0.22 + 0.01x = -0.03 Add '-0.22' to each side of the equation. 0.22 + -0.22 + 0.01x = -0.03 + -0.22 Combine like terms: 0.22 + -0.22 = 0.00 0.00 + 0.01x = -0.03 + -0.22 0.01x = -0.03 + -0.22 Combine like terms: -0.03 + -0.22 = -0.25 0.01x = -0.25 Divide each side by '0.01'. x = -25 Simplifying x = -25
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