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Simplifying x + -5 = 22 + -16(x + 7) Reorder the terms: -5 + x = 22 + -16(x + 7) Reorder the terms: -5 + x = 22 + -16(7 + x) -5 + x = 22 + (7 * -16 + x * -16) -5 + x = 22 + (-112 + -16x) Combine like terms: 22 + -112 = -90 -5 + x = -90 + -16x Solving -5 + x = -90 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -5 + x + 16x = -90 + -16x + 16x Combine like terms: x + 16x = 17x -5 + 17x = -90 + -16x + 16x Combine like terms: -16x + 16x = 0 -5 + 17x = -90 + 0 -5 + 17x = -90 Add '5' to each side of the equation. -5 + 5 + 17x = -90 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = -90 + 5 17x = -90 + 5 Combine like terms: -90 + 5 = -85 17x = -85 Divide each side by '17'. x = -5 Simplifying x = -5
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