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Simplifying 29 + -7(4 + -3x) = 4x + 5(x + -7) 29 + (4 * -7 + -3x * -7) = 4x + 5(x + -7) 29 + (-28 + 21x) = 4x + 5(x + -7) Combine like terms: 29 + -28 = 1 1 + 21x = 4x + 5(x + -7) Reorder the terms: 1 + 21x = 4x + 5(-7 + x) 1 + 21x = 4x + (-7 * 5 + x * 5) 1 + 21x = 4x + (-35 + 5x) Reorder the terms: 1 + 21x = -35 + 4x + 5x Combine like terms: 4x + 5x = 9x 1 + 21x = -35 + 9x Solving 1 + 21x = -35 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 21x + -9x = -35 + 9x + -9x Combine like terms: 21x + -9x = 12x 1 + 12x = -35 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + 12x = -35 + 0 1 + 12x = -35 Add '-1' to each side of the equation. 1 + -1 + 12x = -35 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = -35 + -1 12x = -35 + -1 Combine like terms: -35 + -1 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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