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Simplifying 0.5(4x + -6) = 0.33(9x + 1) Reorder the terms: 0.5(-6 + 4x) = 0.33(9x + 1) (-6 * 0.5 + 4x * 0.5) = 0.33(9x + 1) (-3 + 2x) = 0.33(9x + 1) Reorder the terms: -3 + 2x = 0.33(1 + 9x) -3 + 2x = (1 * 0.33 + 9x * 0.33) -3 + 2x = (0.33 + 2.97x) Solving -3 + 2x = 0.33 + 2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.97x' to each side of the equation. -3 + 2x + -2.97x = 0.33 + 2.97x + -2.97x Combine like terms: 2x + -2.97x = -0.97x -3 + -0.97x = 0.33 + 2.97x + -2.97x Combine like terms: 2.97x + -2.97x = 0.00 -3 + -0.97x = 0.33 + 0.00 -3 + -0.97x = 0.33 Add '3' to each side of the equation. -3 + 3 + -0.97x = 0.33 + 3 Combine like terms: -3 + 3 = 0 0 + -0.97x = 0.33 + 3 -0.97x = 0.33 + 3 Combine like terms: 0.33 + 3 = 3.33 -0.97x = 3.33 Divide each side by '-0.97'. x = -3.432989691 Simplifying x = -3.432989691
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