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Simplifying 5(-3x + -7) + 7x = 4x + -29 Reorder the terms: 5(-7 + -3x) + 7x = 4x + -29 (-7 * 5 + -3x * 5) + 7x = 4x + -29 (-35 + -15x) + 7x = 4x + -29 Combine like terms: -15x + 7x = -8x -35 + -8x = 4x + -29 Reorder the terms: -35 + -8x = -29 + 4x Solving -35 + -8x = -29 + 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. -35 + -8x + -4x = -29 + 4x + -4x Combine like terms: -8x + -4x = -12x -35 + -12x = -29 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + -12x = -29 + 0 -35 + -12x = -29 Add '35' to each side of the equation. -35 + 35 + -12x = -29 + 35 Combine like terms: -35 + 35 = 0 0 + -12x = -29 + 35 -12x = -29 + 35 Combine like terms: -29 + 35 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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