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Simplifying 0.14 + -0.01(x + 3) = -0.04(1 + -1x) Reorder the terms: 0.14 + -0.01(3 + x) = -0.04(1 + -1x) 0.14 + (3 * -0.01 + x * -0.01) = -0.04(1 + -1x) 0.14 + (-0.03 + -0.01x) = -0.04(1 + -1x) Combine like terms: 0.14 + -0.03 = 0.11 0.11 + -0.01x = -0.04(1 + -1x) 0.11 + -0.01x = (1 * -0.04 + -1x * -0.04) 0.11 + -0.01x = (-0.04 + 0.04x) Solving 0.11 + -0.01x = -0.04 + 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. 0.11 + -0.01x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: -0.01x + -0.04x = -0.05x 0.11 + -0.05x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.11 + -0.05x = -0.04 + 0.00 0.11 + -0.05x = -0.04 Add '-0.11' to each side of the equation. 0.11 + -0.11 + -0.05x = -0.04 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + -0.05x = -0.04 + -0.11 -0.05x = -0.04 + -0.11 Combine like terms: -0.04 + -0.11 = -0.15 -0.05x = -0.15 Divide each side by '-0.05'. x = 3 Simplifying x = 3
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