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Simplifying 0.33(5x + 3) + -0.25(x + 5) = 4 Reorder the terms: 0.33(3 + 5x) + -0.25(x + 5) = 4 (3 * 0.33 + 5x * 0.33) + -0.25(x + 5) = 4 (0.99 + 1.65x) + -0.25(x + 5) = 4 Reorder the terms: 0.99 + 1.65x + -0.25(5 + x) = 4 0.99 + 1.65x + (5 * -0.25 + x * -0.25) = 4 0.99 + 1.65x + (-1.25 + -0.25x) = 4 Reorder the terms: 0.99 + -1.25 + 1.65x + -0.25x = 4 Combine like terms: 0.99 + -1.25 = -0.26 -0.26 + 1.65x + -0.25x = 4 Combine like terms: 1.65x + -0.25x = 1.4x -0.26 + 1.4x = 4 Solving -0.26 + 1.4x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.26' to each side of the equation. -0.26 + 0.26 + 1.4x = 4 + 0.26 Combine like terms: -0.26 + 0.26 = 0.00 0.00 + 1.4x = 4 + 0.26 1.4x = 4 + 0.26 Combine like terms: 4 + 0.26 = 4.26 1.4x = 4.26 Divide each side by '1.4'. x = 3.042857143 Simplifying x = 3.042857143
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