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Simplifying 3(x + -5) + 1 = 25(2x + 8) Reorder the terms: 3(-5 + x) + 1 = 25(2x + 8) (-5 * 3 + x * 3) + 1 = 25(2x + 8) (-15 + 3x) + 1 = 25(2x + 8) Reorder the terms: -15 + 1 + 3x = 25(2x + 8) Combine like terms: -15 + 1 = -14 -14 + 3x = 25(2x + 8) Reorder the terms: -14 + 3x = 25(8 + 2x) -14 + 3x = (8 * 25 + 2x * 25) -14 + 3x = (200 + 50x) Solving -14 + 3x = 200 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -14 + 3x + -50x = 200 + 50x + -50x Combine like terms: 3x + -50x = -47x -14 + -47x = 200 + 50x + -50x Combine like terms: 50x + -50x = 0 -14 + -47x = 200 + 0 -14 + -47x = 200 Add '14' to each side of the equation. -14 + 14 + -47x = 200 + 14 Combine like terms: -14 + 14 = 0 0 + -47x = 200 + 14 -47x = 200 + 14 Combine like terms: 200 + 14 = 214 -47x = 214 Divide each side by '-47'. x = -4.553191489 Simplifying x = -4.553191489
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