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Simplifying 0.5[6x + -6] = 0.25[x + 54] Reorder the terms: 0.5[-6 + 6x] = 0.25[x + 54] [-6 * 0.5 + 6x * 0.5] = 0.25[x + 54] [-3 + 3x] = 0.25[x + 54] Reorder the terms: -3 + 3x = 0.25[54 + x] -3 + 3x = [54 * 0.25 + x * 0.25] -3 + 3x = [13.5 + 0.25x] Solving -3 + 3x = 13.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -3 + 3x + -0.25x = 13.5 + 0.25x + -0.25x Combine like terms: 3x + -0.25x = 2.75x -3 + 2.75x = 13.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -3 + 2.75x = 13.5 + 0.00 -3 + 2.75x = 13.5 Add '3' to each side of the equation. -3 + 3 + 2.75x = 13.5 + 3 Combine like terms: -3 + 3 = 0 0 + 2.75x = 13.5 + 3 2.75x = 13.5 + 3 Combine like terms: 13.5 + 3 = 16.5 2.75x = 16.5 Divide each side by '2.75'. x = 6 Simplifying x = 6
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