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Simplifying 0.5(5x + 4) + -0.33(x + 7) = 4 Reorder the terms: 0.5(4 + 5x) + -0.33(x + 7) = 4 (4 * 0.5 + 5x * 0.5) + -0.33(x + 7) = 4 (2 + 2.5x) + -0.33(x + 7) = 4 Reorder the terms: 2 + 2.5x + -0.33(7 + x) = 4 2 + 2.5x + (7 * -0.33 + x * -0.33) = 4 2 + 2.5x + (-2.31 + -0.33x) = 4 Reorder the terms: 2 + -2.31 + 2.5x + -0.33x = 4 Combine like terms: 2 + -2.31 = -0.31 -0.31 + 2.5x + -0.33x = 4 Combine like terms: 2.5x + -0.33x = 2.17x -0.31 + 2.17x = 4 Solving -0.31 + 2.17x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.31' to each side of the equation. -0.31 + 0.31 + 2.17x = 4 + 0.31 Combine like terms: -0.31 + 0.31 = 0.00 0.00 + 2.17x = 4 + 0.31 2.17x = 4 + 0.31 Combine like terms: 4 + 0.31 = 4.31 2.17x = 4.31 Divide each side by '2.17'. x = 1.986175115 Simplifying x = 1.986175115
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