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Simplifying 4(x + -5) + 3(x + 1) + -8 = 4x + -8x + 3 + -17 Reorder the terms: 4(-5 + x) + 3(x + 1) + -8 = 4x + -8x + 3 + -17 (-5 * 4 + x * 4) + 3(x + 1) + -8 = 4x + -8x + 3 + -17 (-20 + 4x) + 3(x + 1) + -8 = 4x + -8x + 3 + -17 Reorder the terms: -20 + 4x + 3(1 + x) + -8 = 4x + -8x + 3 + -17 -20 + 4x + (1 * 3 + x * 3) + -8 = 4x + -8x + 3 + -17 -20 + 4x + (3 + 3x) + -8 = 4x + -8x + 3 + -17 Reorder the terms: -20 + 3 + -8 + 4x + 3x = 4x + -8x + 3 + -17 Combine like terms: -20 + 3 = -17 -17 + -8 + 4x + 3x = 4x + -8x + 3 + -17 Combine like terms: -17 + -8 = -25 -25 + 4x + 3x = 4x + -8x + 3 + -17 Combine like terms: 4x + 3x = 7x -25 + 7x = 4x + -8x + 3 + -17 Reorder the terms: -25 + 7x = 3 + -17 + 4x + -8x Combine like terms: 3 + -17 = -14 -25 + 7x = -14 + 4x + -8x Combine like terms: 4x + -8x = -4x -25 + 7x = -14 + -4x Solving -25 + 7x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -25 + 7x + 4x = -14 + -4x + 4x Combine like terms: 7x + 4x = 11x -25 + 11x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -25 + 11x = -14 + 0 -25 + 11x = -14 Add '25' to each side of the equation. -25 + 25 + 11x = -14 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = -14 + 25 11x = -14 + 25 Combine like terms: -14 + 25 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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