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Simplifying 0.33(6x + -12) = 4(0.50x + 1) + -2 Reorder the terms: 0.33(-12 + 6x) = 4(0.50x + 1) + -2 (-12 * 0.33 + 6x * 0.33) = 4(0.50x + 1) + -2 (-3.96 + 1.98x) = 4(0.50x + 1) + -2 Reorder the terms: -3.96 + 1.98x = 4(1 + 0.50x) + -2 -3.96 + 1.98x = (1 * 4 + 0.50x * 4) + -2 -3.96 + 1.98x = (4 + 2x) + -2 Reorder the terms: -3.96 + 1.98x = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 -3.96 + 1.98x = 2 + 2x Solving -3.96 + 1.98x = 2 + 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. -3.96 + 1.98x + -2x = 2 + 2x + -2x Combine like terms: 1.98x + -2x = -0.02x -3.96 + -0.02x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3.96 + -0.02x = 2 + 0 -3.96 + -0.02x = 2 Add '3.96' to each side of the equation. -3.96 + 3.96 + -0.02x = 2 + 3.96 Combine like terms: -3.96 + 3.96 = 0.00 0.00 + -0.02x = 2 + 3.96 -0.02x = 2 + 3.96 Combine like terms: 2 + 3.96 = 5.96 -0.02x = 5.96 Divide each side by '-0.02'. x = -298 Simplifying x = -298
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