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Simplifying 6x + 5 = 1(x + -40) Reorder the terms: 5 + 6x = 1(x + -40) Reorder the terms: 5 + 6x = 1(-40 + x) 5 + 6x = (-40 * 1 + x * 1) 5 + 6x = (-40 + 1x) Solving 5 + 6x = -40 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 6x + -1x = -40 + 1x + -1x Combine like terms: 6x + -1x = 5x 5 + 5x = -40 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 5x = -40 + 0 5 + 5x = -40 Add '-5' to each side of the equation. 5 + -5 + 5x = -40 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -40 + -5 5x = -40 + -5 Combine like terms: -40 + -5 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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