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Simplifying 3x + 35 = 5(x + 1) Reorder the terms: 35 + 3x = 5(x + 1) Reorder the terms: 35 + 3x = 5(1 + x) 35 + 3x = (1 * 5 + x * 5) 35 + 3x = (5 + 5x) Solving 35 + 3x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + 3x + -5x = 5 + 5x + -5x Combine like terms: 3x + -5x = -2x 35 + -2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -2x = 5 + 0 35 + -2x = 5 Add '-35' to each side of the equation. 35 + -35 + -2x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 5 + -35 -2x = 5 + -35 Combine like terms: 5 + -35 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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