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Simplifying 5(x + -8) + 27 = 6x + 7 Reorder the terms: 5(-8 + x) + 27 = 6x + 7 (-8 * 5 + x * 5) + 27 = 6x + 7 (-40 + 5x) + 27 = 6x + 7 Reorder the terms: -40 + 27 + 5x = 6x + 7 Combine like terms: -40 + 27 = -13 -13 + 5x = 6x + 7 Reorder the terms: -13 + 5x = 7 + 6x Solving -13 + 5x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 5x + -6x = 7 + 6x + -6x Combine like terms: 5x + -6x = -1x -13 + -1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -1x = 7 + 0 -13 + -1x = 7 Add '13' to each side of the equation. -13 + 13 + -1x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 7 + 13 -1x = 7 + 13 Combine like terms: 7 + 13 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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