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Simplifying 4x + 78 = 10x + -7 + -11x Reorder the terms: 78 + 4x = 10x + -7 + -11x Reorder the terms: 78 + 4x = -7 + 10x + -11x Combine like terms: 10x + -11x = -1x 78 + 4x = -7 + -1x Solving 78 + 4x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 78 + 4x + x = -7 + -1x + x Combine like terms: 4x + x = 5x 78 + 5x = -7 + -1x + x Combine like terms: -1x + x = 0 78 + 5x = -7 + 0 78 + 5x = -7 Add '-78' to each side of the equation. 78 + -78 + 5x = -7 + -78 Combine like terms: 78 + -78 = 0 0 + 5x = -7 + -78 5x = -7 + -78 Combine like terms: -7 + -78 = -85 5x = -85 Divide each side by '5'. x = -17 Simplifying x = -17
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