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Simplifying 0.33x + 1 = 0.167(2x + 3) Reorder the terms: 1 + 0.33x = 0.167(2x + 3) Reorder the terms: 1 + 0.33x = 0.167(3 + 2x) 1 + 0.33x = (3 * 0.167 + 2x * 0.167) 1 + 0.33x = (0.501 + 0.334x) Solving 1 + 0.33x = 0.501 + 0.334x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.334x' to each side of the equation. 1 + 0.33x + -0.334x = 0.501 + 0.334x + -0.334x Combine like terms: 0.33x + -0.334x = -0.004x 1 + -0.004x = 0.501 + 0.334x + -0.334x Combine like terms: 0.334x + -0.334x = 0.000 1 + -0.004x = 0.501 + 0.000 1 + -0.004x = 0.501 Add '-1' to each side of the equation. 1 + -1 + -0.004x = 0.501 + -1 Combine like terms: 1 + -1 = 0 0 + -0.004x = 0.501 + -1 -0.004x = 0.501 + -1 Combine like terms: 0.501 + -1 = -0.499 -0.004x = -0.499 Divide each side by '-0.004'. x = 124.75 Simplifying x = 124.75
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