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Simplifying 0.333(6x + 3) = 2x + 1 Reorder the terms: 0.333(3 + 6x) = 2x + 1 (3 * 0.333 + 6x * 0.333) = 2x + 1 (0.999 + 1.998x) = 2x + 1 Reorder the terms: 0.999 + 1.998x = 1 + 2x Solving 0.999 + 1.998x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.999 + 1.998x + -2x = 1 + 2x + -2x Combine like terms: 1.998x + -2x = -0.002x 0.999 + -0.002x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 0.999 + -0.002x = 1 + 0 0.999 + -0.002x = 1 Add '-0.999' to each side of the equation. 0.999 + -0.999 + -0.002x = 1 + -0.999 Combine like terms: 0.999 + -0.999 = 0.000 0.000 + -0.002x = 1 + -0.999 -0.002x = 1 + -0.999 Combine like terms: 1 + -0.999 = 0.001 -0.002x = 0.001 Divide each side by '-0.002'. x = -0.5 Simplifying x = -0.5
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