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Simplifying 9x + -1(7x + 7) = 4x + -49 Reorder the terms: 9x + -1(7 + 7x) = 4x + -49 9x + (7 * -1 + 7x * -1) = 4x + -49 9x + (-7 + -7x) = 4x + -49 Reorder the terms: -7 + 9x + -7x = 4x + -49 Combine like terms: 9x + -7x = 2x -7 + 2x = 4x + -49 Reorder the terms: -7 + 2x = -49 + 4x Solving -7 + 2x = -49 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = -49 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = -49 + 0 -7 + -2x = -49 Add '7' to each side of the equation. -7 + 7 + -2x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -49 + 7 -2x = -49 + 7 Combine like terms: -49 + 7 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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