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Simplifying -2(x + 4) = 5(x + 21) + 69 Reorder the terms: -2(4 + x) = 5(x + 21) + 69 (4 * -2 + x * -2) = 5(x + 21) + 69 (-8 + -2x) = 5(x + 21) + 69 Reorder the terms: -8 + -2x = 5(21 + x) + 69 -8 + -2x = (21 * 5 + x * 5) + 69 -8 + -2x = (105 + 5x) + 69 Reorder the terms: -8 + -2x = 105 + 69 + 5x Combine like terms: 105 + 69 = 174 -8 + -2x = 174 + 5x Solving -8 + -2x = 174 + 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. -8 + -2x + -5x = 174 + 5x + -5x Combine like terms: -2x + -5x = -7x -8 + -7x = 174 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -7x = 174 + 0 -8 + -7x = 174 Add '8' to each side of the equation. -8 + 8 + -7x = 174 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 174 + 8 -7x = 174 + 8 Combine like terms: 174 + 8 = 182 -7x = 182 Divide each side by '-7'. x = -26 Simplifying x = -26
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