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Simplifying 7x + -22 = -3(x + 4) Reorder the terms: -22 + 7x = -3(x + 4) Reorder the terms: -22 + 7x = -3(4 + x) -22 + 7x = (4 * -3 + x * -3) -22 + 7x = (-12 + -3x) Solving -22 + 7x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -22 + 7x + 3x = -12 + -3x + 3x Combine like terms: 7x + 3x = 10x -22 + 10x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -22 + 10x = -12 + 0 -22 + 10x = -12 Add '22' to each side of the equation. -22 + 22 + 10x = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = -12 + 22 10x = -12 + 22 Combine like terms: -12 + 22 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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