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Simplifying 4x + -3 = 0.333(9x + 18) + -5 Reorder the terms: -3 + 4x = 0.333(9x + 18) + -5 Reorder the terms: -3 + 4x = 0.333(18 + 9x) + -5 -3 + 4x = (18 * 0.333 + 9x * 0.333) + -5 -3 + 4x = (5.994 + 2.997x) + -5 Reorder the terms: -3 + 4x = 5.994 + -5 + 2.997x Combine like terms: 5.994 + -5 = 0.994 -3 + 4x = 0.994 + 2.997x Solving -3 + 4x = 0.994 + 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 = 0.994 + 2.997x + -2.997x Combine like terms: 4x + -2.997x = 1.003x -3 + 1.003x = 0.994 + 2.997x + -2.997x Combine like terms: 2.997x + -2.997x = 0.000 -3 + 1.003x = 0.994 + 0.000 -3 + 1.003x = 0.994 Add '3' to each side of the equation. -3 + 3 + 1.003x = 0.994 + 3 Combine like terms: -3 + 3 = 0 0 + 1.003x = 0.994 + 3 1.003x = 0.994 + 3 Combine like terms: 0.994 + 3 = 3.994 1.003x = 3.994 Divide each side by '1.003'. x = 3.982053838 Simplifying x = 3.982053838
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