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Simplifying 5x + -1(x + 3) = 0.33(9x + 18) + -5 Reorder the terms: 5x + -1(3 + x) = 0.33(9x + 18) + -5 5x + (3 * -1 + x * -1) = 0.33(9x + 18) + -5 5x + (-3 + -1x) = 0.33(9x + 18) + -5 Reorder the terms: -3 + 5x + -1x = 0.33(9x + 18) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 0.33(9x + 18) + -5 Reorder the terms: -3 + 4x = 0.33(18 + 9x) + -5 -3 + 4x = (18 * 0.33 + 9x * 0.33) + -5 -3 + 4x = (5.94 + 2.97x) + -5 Reorder the terms: -3 + 4x = 5.94 + -5 + 2.97x Combine like terms: 5.94 + -5 = 0.94 -3 + 4x = 0.94 + 2.97x Solving -3 + 4x = 0.94 + 2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.97x' to each side of the equation. -3 + 4x + -2.97x = 0.94 + 2.97x + -2.97x Combine like terms: 4x + -2.97x = 1.03x -3 + 1.03x = 0.94 + 2.97x + -2.97x Combine like terms: 2.97x + -2.97x = 0.00 -3 + 1.03x = 0.94 + 0.00 -3 + 1.03x = 0.94 Add '3' to each side of the equation. -3 + 3 + 1.03x = 0.94 + 3 Combine like terms: -3 + 3 = 0 0 + 1.03x = 0.94 + 3 1.03x = 0.94 + 3 Combine like terms: 0.94 + 3 = 3.94 1.03x = 3.94 Divide each side by '1.03'. x = 3.825242718 Simplifying x = 3.825242718
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