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Simplifying 7(x + 5) = 4(3x + -5) Reorder the terms: 7(5 + x) = 4(3x + -5) (5 * 7 + x * 7) = 4(3x + -5) (35 + 7x) = 4(3x + -5) Reorder the terms: 35 + 7x = 4(-5 + 3x) 35 + 7x = (-5 * 4 + 3x * 4) 35 + 7x = (-20 + 12x) Solving 35 + 7x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 35 + 7x + -12x = -20 + 12x + -12x Combine like terms: 7x + -12x = -5x 35 + -5x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -5x = -20 + 0 35 + -5x = -20 Add '-35' to each side of the equation. 35 + -35 + -5x = -20 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -20 + -35 -5x = -20 + -35 Combine like terms: -20 + -35 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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