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Simplifying -7(2x + 5) + 21 = 35 + -7x + 21 Reorder the terms: -7(5 + 2x) + 21 = 35 + -7x + 21 (5 * -7 + 2x * -7) + 21 = 35 + -7x + 21 (-35 + -14x) + 21 = 35 + -7x + 21 Reorder the terms: -35 + 21 + -14x = 35 + -7x + 21 Combine like terms: -35 + 21 = -14 -14 + -14x = 35 + -7x + 21 Reorder the terms: -14 + -14x = 35 + 21 + -7x Combine like terms: 35 + 21 = 56 -14 + -14x = 56 + -7x Solving -14 + -14x = 56 + -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. -14 + -14x + 7x = 56 + -7x + 7x Combine like terms: -14x + 7x = -7x -14 + -7x = 56 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 + -7x = 56 + 0 -14 + -7x = 56 Add '14' to each side of the equation. -14 + 14 + -7x = 56 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 56 + 14 -7x = 56 + 14 Combine like terms: 56 + 14 = 70 -7x = 70 Divide each side by '-7'. x = -10 Simplifying x = -10
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