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Simplifying 4x + -7x + -1(x + 7) = 29 Reorder the terms: 4x + -7x + -1(7 + x) = 29 4x + -7x + (7 * -1 + x * -1) = 29 4x + -7x + (-7 + -1x) = 29 Reorder the terms: -7 + 4x + -7x + -1x = 29 Combine like terms: 4x + -7x = -3x -7 + -3x + -1x = 29 Combine like terms: -3x + -1x = -4x -7 + -4x = 29 Solving -7 + -4x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 29 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 29 + 7 -4x = 29 + 7 Combine like terms: 29 + 7 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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