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Simplifying -527 = 8(-5 + 12x) + -7 -527 = (-5 * 8 + 12x * 8) + -7 -527 = (-40 + 96x) + -7 Reorder the terms: -527 = -40 + -7 + 96x Combine like terms: -40 + -7 = -47 -527 = -47 + 96x Solving -527 = -47 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -527 + -96x = -47 + 96x + -96x Combine like terms: 96x + -96x = 0 -527 + -96x = -47 + 0 -527 + -96x = -47 Add '527' to each side of the equation. -527 + 527 + -96x = -47 + 527 Combine like terms: -527 + 527 = 0 0 + -96x = -47 + 527 -96x = -47 + 527 Combine like terms: -47 + 527 = 480 -96x = 480 Divide each side by '-96'. x = -5 Simplifying x = -5
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