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Simplifying 0.2(3x + 5) + -0.33(x + 7) = 4 Reorder the terms: 0.2(5 + 3x) + -0.33(x + 7) = 4 (5 * 0.2 + 3x * 0.2) + -0.33(x + 7) = 4 (1 + 0.6x) + -0.33(x + 7) = 4 Reorder the terms: 1 + 0.6x + -0.33(7 + x) = 4 1 + 0.6x + (7 * -0.33 + x * -0.33) = 4 1 + 0.6x + (-2.31 + -0.33x) = 4 Reorder the terms: 1 + -2.31 + 0.6x + -0.33x = 4 Combine like terms: 1 + -2.31 = -1.31 -1.31 + 0.6x + -0.33x = 4 Combine like terms: 0.6x + -0.33x = 0.27x -1.31 + 0.27x = 4 Solving -1.31 + 0.27x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.31' to each side of the equation. -1.31 + 1.31 + 0.27x = 4 + 1.31 Combine like terms: -1.31 + 1.31 = 0.00 0.00 + 0.27x = 4 + 1.31 0.27x = 4 + 1.31 Combine like terms: 4 + 1.31 = 5.31 0.27x = 5.31 Divide each side by '0.27'. x = 19.66666667 Simplifying x = 19.66666667
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