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Simplifying -3x + 35 = x + 7 Reorder the terms: 35 + -3x = x + 7 Reorder the terms: 35 + -3x = 7 + x Solving 35 + -3x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + -3x + -1x = 7 + x + -1x Combine like terms: -3x + -1x = -4x 35 + -4x = 7 + x + -1x Combine like terms: x + -1x = 0 35 + -4x = 7 + 0 35 + -4x = 7 Add '-35' to each side of the equation. 35 + -35 + -4x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 7 + -35 -4x = 7 + -35 Combine like terms: 7 + -35 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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