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Simplifying x + -22 = 7(2x + 3) + -4 Reorder the terms: -22 + x = 7(2x + 3) + -4 Reorder the terms: -22 + x = 7(3 + 2x) + -4 -22 + x = (3 * 7 + 2x * 7) + -4 -22 + x = (21 + 14x) + -4 Reorder the terms: -22 + x = 21 + -4 + 14x Combine like terms: 21 + -4 = 17 -22 + x = 17 + 14x Solving -22 + x = 17 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -22 + x + -14x = 17 + 14x + -14x Combine like terms: x + -14x = -13x -22 + -13x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 -22 + -13x = 17 + 0 -22 + -13x = 17 Add '22' to each side of the equation. -22 + 22 + -13x = 17 + 22 Combine like terms: -22 + 22 = 0 0 + -13x = 17 + 22 -13x = 17 + 22 Combine like terms: 17 + 22 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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