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Simplifying 0.09 + -0.01(x + 1) = -0.03(4 + x) Reorder the terms: 0.09 + -0.01(1 + x) = -0.03(4 + x) 0.09 + (1 * -0.01 + x * -0.01) = -0.03(4 + x) 0.09 + (-0.01 + -0.01x) = -0.03(4 + x) Combine like terms: 0.09 + -0.01 = 0.08 0.08 + -0.01x = -0.03(4 + x) 0.08 + -0.01x = (4 * -0.03 + x * -0.03) 0.08 + -0.01x = (-0.12 + -0.03x) Solving 0.08 + -0.01x = -0.12 + -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. 0.08 + -0.01x + 0.03x = -0.12 + -0.03x + 0.03x Combine like terms: -0.01x + 0.03x = 0.02x 0.08 + 0.02x = -0.12 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.08 + 0.02x = -0.12 + 0.00 0.08 + 0.02x = -0.12 Add '-0.08' to each side of the equation. 0.08 + -0.08 + 0.02x = -0.12 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 0.02x = -0.12 + -0.08 0.02x = -0.12 + -0.08 Combine like terms: -0.12 + -0.08 = -0.2 0.02x = -0.2 Divide each side by '0.02'. x = -10 Simplifying x = -10
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