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Simplifying 0.4x + 3 = 0.2(0.3x + 1) + -1x Reorder the terms: 3 + 0.4x = 0.2(0.3x + 1) + -1x Reorder the terms: 3 + 0.4x = 0.2(1 + 0.3x) + -1x 3 + 0.4x = (1 * 0.2 + 0.3x * 0.2) + -1x 3 + 0.4x = (0.2 + 0.06x) + -1x Combine like terms: 0.06x + -1x = -0.94x 3 + 0.4x = 0.2 + -0.94x Solving 3 + 0.4x = 0.2 + -0.94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.94x' to each side of the equation. 3 + 0.4x + 0.94x = 0.2 + -0.94x + 0.94x Combine like terms: 0.4x + 0.94x = 1.34x 3 + 1.34x = 0.2 + -0.94x + 0.94x Combine like terms: -0.94x + 0.94x = 0.00 3 + 1.34x = 0.2 + 0.00 3 + 1.34x = 0.2 Add '-3' to each side of the equation. 3 + -3 + 1.34x = 0.2 + -3 Combine like terms: 3 + -3 = 0 0 + 1.34x = 0.2 + -3 1.34x = 0.2 + -3 Combine like terms: 0.2 + -3 = -2.8 1.34x = -2.8 Divide each side by '1.34'. x = -2.089552239 Simplifying x = -2.089552239
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