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Simplifying -7x + 14 = -22 + -5(x + 20) Reorder the terms: 14 + -7x = -22 + -5(x + 20) Reorder the terms: 14 + -7x = -22 + -5(20 + x) 14 + -7x = -22 + (20 * -5 + x * -5) 14 + -7x = -22 + (-100 + -5x) Combine like terms: -22 + -100 = -122 14 + -7x = -122 + -5x Solving 14 + -7x = -122 + -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. 14 + -7x + 5x = -122 + -5x + 5x Combine like terms: -7x + 5x = -2x 14 + -2x = -122 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + -2x = -122 + 0 14 + -2x = -122 Add '-14' to each side of the equation. 14 + -14 + -2x = -122 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -122 + -14 -2x = -122 + -14 Combine like terms: -122 + -14 = -136 -2x = -136 Divide each side by '-2'. x = 68 Simplifying x = 68
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