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Simplifying -2x + 22 = 7(x + -2) Reorder the terms: 22 + -2x = 7(x + -2) Reorder the terms: 22 + -2x = 7(-2 + x) 22 + -2x = (-2 * 7 + x * 7) 22 + -2x = (-14 + 7x) Solving 22 + -2x = -14 + 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. 22 + -2x + -7x = -14 + 7x + -7x Combine like terms: -2x + -7x = -9x 22 + -9x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -9x = -14 + 0 22 + -9x = -14 Add '-22' to each side of the equation. 22 + -22 + -9x = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = -14 + -22 -9x = -14 + -22 Combine like terms: -14 + -22 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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