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Simplifying -4(x + 3) + -5 = -5(x + -8) + -3 Reorder the terms: -4(3 + x) + -5 = -5(x + -8) + -3 (3 * -4 + x * -4) + -5 = -5(x + -8) + -3 (-12 + -4x) + -5 = -5(x + -8) + -3 Reorder the terms: -12 + -5 + -4x = -5(x + -8) + -3 Combine like terms: -12 + -5 = -17 -17 + -4x = -5(x + -8) + -3 Reorder the terms: -17 + -4x = -5(-8 + x) + -3 -17 + -4x = (-8 * -5 + x * -5) + -3 -17 + -4x = (40 + -5x) + -3 Reorder the terms: -17 + -4x = 40 + -3 + -5x Combine like terms: 40 + -3 = 37 -17 + -4x = 37 + -5x Solving -17 + -4x = 37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -17 + -4x + 5x = 37 + -5x + 5x Combine like terms: -4x + 5x = 1x -17 + 1x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + 1x = 37 + 0 -17 + 1x = 37 Add '17' to each side of the equation. -17 + 17 + 1x = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 37 + 17 1x = 37 + 17 Combine like terms: 37 + 17 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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