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Simplifying 0.12 * 0.03(x + 3) = -0.04(1 + -1x) Reorder the terms: 0.12 * 0.03(3 + x) = -0.04(1 + -1x) Multiply 0.12 * 0.03 0.0036(3 + x) = -0.04(1 + -1x) (3 * 0.0036 + x * 0.0036) = -0.04(1 + -1x) (0.0108 + 0.0036x) = -0.04(1 + -1x) 0.0108 + 0.0036x = (1 * -0.04 + -1x * -0.04) 0.0108 + 0.0036x = (-0.04 + 0.04x) Solving 0.0108 + 0.0036x = -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. 0.0108 + 0.0036x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.0036x + -0.04x = -0.0364x 0.0108 + -0.0364x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.0108 + -0.0364x = -0.04 + 0.00 0.0108 + -0.0364x = -0.04 Add '-0.0108' to each side of the equation. 0.0108 + -0.0108 + -0.0364x = -0.04 + -0.0108 Combine like terms: 0.0108 + -0.0108 = 0.0000 0.0000 + -0.0364x = -0.04 + -0.0108 -0.0364x = -0.04 + -0.0108 Combine like terms: -0.04 + -0.0108 = -0.0508 -0.0364x = -0.0508 Divide each side by '-0.0364'. x = 1.395604396 Simplifying x = 1.395604396
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