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Simplifying 7x + 22 = 9(x + -4) Reorder the terms: 22 + 7x = 9(x + -4) Reorder the terms: 22 + 7x = 9(-4 + x) 22 + 7x = (-4 * 9 + x * 9) 22 + 7x = (-36 + 9x) Solving 22 + 7x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 22 + 7x + -9x = -36 + 9x + -9x Combine like terms: 7x + -9x = -2x 22 + -2x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -2x = -36 + 0 22 + -2x = -36 Add '-22' to each side of the equation. 22 + -22 + -2x = -36 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = -36 + -22 -2x = -36 + -22 Combine like terms: -36 + -22 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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