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Simplifying 8x + -22 = 2(3x + -7) Reorder the terms: -22 + 8x = 2(3x + -7) Reorder the terms: -22 + 8x = 2(-7 + 3x) -22 + 8x = (-7 * 2 + 3x * 2) -22 + 8x = (-14 + 6x) Solving -22 + 8x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 8x + -6x = -14 + 6x + -6x Combine like terms: 8x + -6x = 2x -22 + 2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 2x = -14 + 0 -22 + 2x = -14 Add '22' to each side of the equation. -22 + 22 + 2x = -14 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -14 + 22 2x = -14 + 22 Combine like terms: -14 + 22 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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