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Simplifying 4x + 6 = 5(x + -8) Reorder the terms: 6 + 4x = 5(x + -8) Reorder the terms: 6 + 4x = 5(-8 + x) 6 + 4x = (-8 * 5 + x * 5) 6 + 4x = (-40 + 5x) Solving 6 + 4x = -40 + 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. 6 + 4x + -5x = -40 + 5x + -5x Combine like terms: 4x + -5x = -1x 6 + -1x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -1x = -40 + 0 6 + -1x = -40 Add '-6' to each side of the equation. 6 + -6 + -1x = -40 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -40 + -6 -1x = -40 + -6 Combine like terms: -40 + -6 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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