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Simplifying -5x + 7(x + -3) = -29 + x Reorder the terms: -5x + 7(-3 + x) = -29 + x -5x + (-3 * 7 + x * 7) = -29 + x -5x + (-21 + 7x) = -29 + x Reorder the terms: -21 + -5x + 7x = -29 + x Combine like terms: -5x + 7x = 2x -21 + 2x = -29 + x Solving -21 + 2x = -29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 2x + -1x = -29 + x + -1x Combine like terms: 2x + -1x = 1x -21 + 1x = -29 + x + -1x Combine like terms: x + -1x = 0 -21 + 1x = -29 + 0 -21 + 1x = -29 Add '21' to each side of the equation. -21 + 21 + 1x = -29 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -29 + 21 1x = -29 + 21 Combine like terms: -29 + 21 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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