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Simplifying 5 + -4(x + 4) = 7x + -22 Reorder the terms: 5 + -4(4 + x) = 7x + -22 5 + (4 * -4 + x * -4) = 7x + -22 5 + (-16 + -4x) = 7x + -22 Combine like terms: 5 + -16 = -11 -11 + -4x = 7x + -22 Reorder the terms: -11 + -4x = -22 + 7x Solving -11 + -4x = -22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + -4x + -7x = -22 + 7x + -7x Combine like terms: -4x + -7x = -11x -11 + -11x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -11x = -22 + 0 -11 + -11x = -22 Add '11' to each side of the equation. -11 + 11 + -11x = -22 + 11 Combine like terms: -11 + 11 = 0 0 + -11x = -22 + 11 -11x = -22 + 11 Combine like terms: -22 + 11 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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