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Simplifying 12x + -25 = 4(2x + 8) + 1 Reorder the terms: -25 + 12x = 4(2x + 8) + 1 Reorder the terms: -25 + 12x = 4(8 + 2x) + 1 -25 + 12x = (8 * 4 + 2x * 4) + 1 -25 + 12x = (32 + 8x) + 1 Reorder the terms: -25 + 12x = 32 + 1 + 8x Combine like terms: 32 + 1 = 33 -25 + 12x = 33 + 8x Solving -25 + 12x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -25 + 12x + -8x = 33 + 8x + -8x Combine like terms: 12x + -8x = 4x -25 + 4x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + 4x = 33 + 0 -25 + 4x = 33 Add '25' to each side of the equation. -25 + 25 + 4x = 33 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = 33 + 25 4x = 33 + 25 Combine like terms: 33 + 25 = 58 4x = 58 Divide each side by '4'. x = 14.5 Simplifying x = 14.5
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