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Simplifying 0.11 + -0.01(x + 3) = -0.04(3 + -1x) Reorder the terms: 0.11 + -0.01(3 + x) = -0.04(3 + -1x) 0.11 + (3 * -0.01 + x * -0.01) = -0.04(3 + -1x) 0.11 + (-0.03 + -0.01x) = -0.04(3 + -1x) Combine like terms: 0.11 + -0.03 = 0.08 0.08 + -0.01x = -0.04(3 + -1x) 0.08 + -0.01x = (3 * -0.04 + -1x * -0.04) 0.08 + -0.01x = (-0.12 + 0.04x) Solving 0.08 + -0.01x = -0.12 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 0.08 + -0.01x + -0.04x = -0.12 + 0.04x + -0.04x Combine like terms: -0.01x + -0.04x = -0.05x 0.08 + -0.05x = -0.12 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.08 + -0.05x = -0.12 + 0.00 0.08 + -0.05x = -0.12 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.05x = -0.12 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.05x = -0.12 + -0.08 -0.05x = -0.12 + -0.08 Combine like terms: -0.12 + -0.08 = -0.2 -0.05x = -0.2 Divide each side by '-0.05'. x = 4 Simplifying x = 4
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