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Simplifying -5(x + 1) + -29 = 8x + -1(x + -23) Reorder the terms: -5(1 + x) + -29 = 8x + -1(x + -23) (1 * -5 + x * -5) + -29 = 8x + -1(x + -23) (-5 + -5x) + -29 = 8x + -1(x + -23) Reorder the terms: -5 + -29 + -5x = 8x + -1(x + -23) Combine like terms: -5 + -29 = -34 -34 + -5x = 8x + -1(x + -23) Reorder the terms: -34 + -5x = 8x + -1(-23 + x) -34 + -5x = 8x + (-23 * -1 + x * -1) -34 + -5x = 8x + (23 + -1x) Reorder the terms: -34 + -5x = 23 + 8x + -1x Combine like terms: 8x + -1x = 7x -34 + -5x = 23 + 7x Solving -34 + -5x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -34 + -5x + -7x = 23 + 7x + -7x Combine like terms: -5x + -7x = -12x -34 + -12x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -34 + -12x = 23 + 0 -34 + -12x = 23 Add '34' to each side of the equation. -34 + 34 + -12x = 23 + 34 Combine like terms: -34 + 34 = 0 0 + -12x = 23 + 34 -12x = 23 + 34 Combine like terms: 23 + 34 = 57 -12x = 57 Divide each side by '-12'. x = -4.75 Simplifying x = -4.75
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