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Simplifying 15x + 35 = 7x + -21 Reorder the terms: 35 + 15x = 7x + -21 Reorder the terms: 35 + 15x = -21 + 7x Solving 35 + 15x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + 15x + -7x = -21 + 7x + -7x Combine like terms: 15x + -7x = 8x 35 + 8x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 8x = -21 + 0 35 + 8x = -21 Add '-35' to each side of the equation. 35 + -35 + 8x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + 8x = -21 + -35 8x = -21 + -35 Combine like terms: -21 + -35 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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