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Simplifying 7(3x + -5) + -4(3x + -14) = 8x + -8 Reorder the terms: 7(-5 + 3x) + -4(3x + -14) = 8x + -8 (-5 * 7 + 3x * 7) + -4(3x + -14) = 8x + -8 (-35 + 21x) + -4(3x + -14) = 8x + -8 Reorder the terms: -35 + 21x + -4(-14 + 3x) = 8x + -8 -35 + 21x + (-14 * -4 + 3x * -4) = 8x + -8 -35 + 21x + (56 + -12x) = 8x + -8 Reorder the terms: -35 + 56 + 21x + -12x = 8x + -8 Combine like terms: -35 + 56 = 21 21 + 21x + -12x = 8x + -8 Combine like terms: 21x + -12x = 9x 21 + 9x = 8x + -8 Reorder the terms: 21 + 9x = -8 + 8x Solving 21 + 9x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 9x + -8x = -8 + 8x + -8x Combine like terms: 9x + -8x = 1x 21 + 1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 1x = -8 + 0 21 + 1x = -8 Add '-21' to each side of the equation. 21 + -21 + 1x = -8 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -8 + -21 1x = -8 + -21 Combine like terms: -8 + -21 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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