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Simplifying -5x + 35 = -3x + 21 Reorder the terms: 35 + -5x = -3x + 21 Reorder the terms: 35 + -5x = 21 + -3x Solving 35 + -5x = 21 + -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. 35 + -5x + 3x = 21 + -3x + 3x Combine like terms: -5x + 3x = -2x 35 + -2x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + -2x = 21 + 0 35 + -2x = 21 Add '-35' to each side of the equation. 35 + -35 + -2x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 21 + -35 -2x = 21 + -35 Combine like terms: 21 + -35 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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