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Simplifying -0.5(4x + -6) = 0.333(3 + -6x) + 2 Reorder the terms: -0.5(-6 + 4x) = 0.333(3 + -6x) + 2 (-6 * -0.5 + 4x * -0.5) = 0.333(3 + -6x) + 2 (3 + -2x) = 0.333(3 + -6x) + 2 3 + -2x = (3 * 0.333 + -6x * 0.333) + 2 3 + -2x = (0.999 + -1.998x) + 2 Reorder the terms: 3 + -2x = 0.999 + 2 + -1.998x Combine like terms: 0.999 + 2 = 2.999 3 + -2x = 2.999 + -1.998x Solving 3 + -2x = 2.999 + -1.998x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.998x' to each side of the equation. 3 + -2x + 1.998x = 2.999 + -1.998x + 1.998x Combine like terms: -2x + 1.998x = -0.002x 3 + -0.002x = 2.999 + -1.998x + 1.998x Combine like terms: -1.998x + 1.998x = 0.000 3 + -0.002x = 2.999 + 0.000 3 + -0.002x = 2.999 Add '-3' to each side of the equation. 3 + -3 + -0.002x = 2.999 + -3 Combine like terms: 3 + -3 = 0 0 + -0.002x = 2.999 + -3 -0.002x = 2.999 + -3 Combine like terms: 2.999 + -3 = -0.001 -0.002x = -0.001 Divide each side by '-0.002'. x = 0.5 Simplifying x = 0.5
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