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Simplifying 5(x + -8) + 35 = 4x + -6 Reorder the terms: 5(-8 + x) + 35 = 4x + -6 (-8 * 5 + x * 5) + 35 = 4x + -6 (-40 + 5x) + 35 = 4x + -6 Reorder the terms: -40 + 35 + 5x = 4x + -6 Combine like terms: -40 + 35 = -5 -5 + 5x = 4x + -6 Reorder the terms: -5 + 5x = -6 + 4x Solving -5 + 5x = -6 + 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. -5 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = -6 + 0 -5 + 1x = -6 Add '5' to each side of the equation. -5 + 5 + 1x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -6 + 5 1x = -6 + 5 Combine like terms: -6 + 5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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