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Simplifying 4(2x + 5) = -7(3x + -7) Reorder the terms: 4(5 + 2x) = -7(3x + -7) (5 * 4 + 2x * 4) = -7(3x + -7) (20 + 8x) = -7(3x + -7) Reorder the terms: 20 + 8x = -7(-7 + 3x) 20 + 8x = (-7 * -7 + 3x * -7) 20 + 8x = (49 + -21x) Solving 20 + 8x = 49 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 20 + 8x + 21x = 49 + -21x + 21x Combine like terms: 8x + 21x = 29x 20 + 29x = 49 + -21x + 21x Combine like terms: -21x + 21x = 0 20 + 29x = 49 + 0 20 + 29x = 49 Add '-20' to each side of the equation. 20 + -20 + 29x = 49 + -20 Combine like terms: 20 + -20 = 0 0 + 29x = 49 + -20 29x = 49 + -20 Combine like terms: 49 + -20 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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