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Simplifying -7x + 10 = 4x + -78 Reorder the terms: 10 + -7x = 4x + -78 Reorder the terms: 10 + -7x = -78 + 4x Solving 10 + -7x = -78 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -7x + -4x = -78 + 4x + -4x Combine like terms: -7x + -4x = -11x 10 + -11x = -78 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -11x = -78 + 0 10 + -11x = -78 Add '-10' to each side of the equation. 10 + -10 + -11x = -78 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -78 + -10 -11x = -78 + -10 Combine like terms: -78 + -10 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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