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Simplifying 78 + -1x = 3x + -10 Reorder the terms: 78 + -1x = -10 + 3x Solving 78 + -1x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 78 + -1x + -3x = -10 + 3x + -3x Combine like terms: -1x + -3x = -4x 78 + -4x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 78 + -4x = -10 + 0 78 + -4x = -10 Add '-78' to each side of the equation. 78 + -78 + -4x = -10 + -78 Combine like terms: 78 + -78 = 0 0 + -4x = -10 + -78 -4x = -10 + -78 Combine like terms: -10 + -78 = -88 -4x = -88 Divide each side by '-4'. x = 22 Simplifying x = 22
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