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Simplifying -7(3x + -5) = 8(x + 3) + -4 Reorder the terms: -7(-5 + 3x) = 8(x + 3) + -4 (-5 * -7 + 3x * -7) = 8(x + 3) + -4 (35 + -21x) = 8(x + 3) + -4 Reorder the terms: 35 + -21x = 8(3 + x) + -4 35 + -21x = (3 * 8 + x * 8) + -4 35 + -21x = (24 + 8x) + -4 Reorder the terms: 35 + -21x = 24 + -4 + 8x Combine like terms: 24 + -4 = 20 35 + -21x = 20 + 8x Solving 35 + -21x = 20 + 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. 35 + -21x + -8x = 20 + 8x + -8x Combine like terms: -21x + -8x = -29x 35 + -29x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -29x = 20 + 0 35 + -29x = 20 Add '-35' to each side of the equation. 35 + -35 + -29x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -29x = 20 + -35 -29x = 20 + -35 Combine like terms: 20 + -35 = -15 -29x = -15 Divide each side by '-29'. x = 0.5172413793 Simplifying x = 0.5172413793
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