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