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Simplifying 5x + -1(x + 3) = 0.333(9x + 8) + -5 Reorder the terms: 5x + -1(3 + x) = 0.333(9x + 8) + -5 5x + (3 * -1 + x * -1) = 0.333(9x + 8) + -5 5x + (-3 + -1x) = 0.333(9x + 8) + -5 Reorder the terms: -3 + 5x + -1x = 0.333(9x + 8) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 0.333(9x + 8) + -5 Reorder the terms: -3 + 4x = 0.333(8 + 9x) + -5 -3 + 4x = (8 * 0.333 + 9x * 0.333) + -5 -3 + 4x = (2.664 + 2.997x) + -5 Reorder the terms: -3 + 4x = 2.664 + -5 + 2.997x Combine like terms: 2.664 + -5 = -2.336 -3 + 4x = -2.336 + 2.997x Solving -3 + 4x = -2.336 + 2.997x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.997x' to each side of the equation. -3 + 4x + -2.997x = -2.336 + 2.997x + -2.997x Combine like terms: 4x + -2.997x = 1.003x -3 + 1.003x = -2.336 + 2.997x + -2.997x Combine like terms: 2.997x + -2.997x = 0.000 -3 + 1.003x = -2.336 + 0.000 -3 + 1.003x = -2.336 Add '3' to each side of the equation. -3 + 3 + 1.003x = -2.336 + 3 Combine like terms: -3 + 3 = 0 0 + 1.003x = -2.336 + 3 1.003x = -2.336 + 3 Combine like terms: -2.336 + 3 = 0.664 1.003x = 0.664 Divide each side by '1.003'. x = 0.6620139581 Simplifying x = 0.6620139581
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