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