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Simplifying 7(3x + -5) + 11 = 5(2x + 4) Reorder the terms: 7(-5 + 3x) + 11 = 5(2x + 4) (-5 * 7 + 3x * 7) + 11 = 5(2x + 4) (-35 + 21x) + 11 = 5(2x + 4) Reorder the terms: -35 + 11 + 21x = 5(2x + 4) Combine like terms: -35 + 11 = -24 -24 + 21x = 5(2x + 4) Reorder the terms: -24 + 21x = 5(4 + 2x) -24 + 21x = (4 * 5 + 2x * 5) -24 + 21x = (20 + 10x) Solving -24 + 21x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 21x + -10x = 20 + 10x + -10x Combine like terms: 21x + -10x = 11x -24 + 11x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 11x = 20 + 0 -24 + 11x = 20 Add '24' to each side of the equation. -24 + 24 + 11x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 20 + 24 11x = 20 + 24 Combine like terms: 20 + 24 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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