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Simplifying -2(x + 21) = 5(x + -7) Reorder the terms: -2(21 + x) = 5(x + -7) (21 * -2 + x * -2) = 5(x + -7) (-42 + -2x) = 5(x + -7) Reorder the terms: -42 + -2x = 5(-7 + x) -42 + -2x = (-7 * 5 + x * 5) -42 + -2x = (-35 + 5x) Solving -42 + -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. -42 + -2x + -5x = -35 + 5x + -5x Combine like terms: -2x + -5x = -7x -42 + -7x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -7x = -35 + 0 -42 + -7x = -35 Add '42' to each side of the equation. -42 + 42 + -7x = -35 + 42 Combine like terms: -42 + 42 = 0 0 + -7x = -35 + 42 -7x = -35 + 42 Combine like terms: -35 + 42 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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