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Simplifying -5(x + 8) + 47 = 12 + -6x Reorder the terms: -5(8 + x) + 47 = 12 + -6x (8 * -5 + x * -5) + 47 = 12 + -6x (-40 + -5x) + 47 = 12 + -6x Reorder the terms: -40 + 47 + -5x = 12 + -6x Combine like terms: -40 + 47 = 7 7 + -5x = 12 + -6x Solving 7 + -5x = 12 + -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. 7 + -5x + 6x = 12 + -6x + 6x Combine like terms: -5x + 6x = 1x 7 + 1x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 1x = 12 + 0 7 + 1x = 12 Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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