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Simplifying 5x + -34 = 8(x + -5) Reorder the terms: -34 + 5x = 8(x + -5) Reorder the terms: -34 + 5x = 8(-5 + x) -34 + 5x = (-5 * 8 + x * 8) -34 + 5x = (-40 + 8x) Solving -34 + 5x = -40 + 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. -34 + 5x + -8x = -40 + 8x + -8x Combine like terms: 5x + -8x = -3x -34 + -3x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -3x = -40 + 0 -34 + -3x = -40 Add '34' to each side of the equation. -34 + 34 + -3x = -40 + 34 Combine like terms: -34 + 34 = 0 0 + -3x = -40 + 34 -3x = -40 + 34 Combine like terms: -40 + 34 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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