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Simplifying 0.2(3x + 5) + -0.334(x + 7) = 4 Reorder the terms: 0.2(5 + 3x) + -0.334(x + 7) = 4 (5 * 0.2 + 3x * 0.2) + -0.334(x + 7) = 4 (1 + 0.6x) + -0.334(x + 7) = 4 Reorder the terms: 1 + 0.6x + -0.334(7 + x) = 4 1 + 0.6x + (7 * -0.334 + x * -0.334) = 4 1 + 0.6x + (-2.338 + -0.334x) = 4 Reorder the terms: 1 + -2.338 + 0.6x + -0.334x = 4 Combine like terms: 1 + -2.338 = -1.338 -1.338 + 0.6x + -0.334x = 4 Combine like terms: 0.6x + -0.334x = 0.266x -1.338 + 0.266x = 4 Solving -1.338 + 0.266x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.338' to each side of the equation. -1.338 + 1.338 + 0.266x = 4 + 1.338 Combine like terms: -1.338 + 1.338 = 0.000 0.000 + 0.266x = 4 + 1.338 0.266x = 4 + 1.338 Combine like terms: 4 + 1.338 = 5.338 0.266x = 5.338 Divide each side by '0.266'. x = 20.06766917 Simplifying x = 20.06766917
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