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Simplifying 3(5x + 7) + 2(3x + -5) = 5(2x + 11) Reorder the terms: 3(7 + 5x) + 2(3x + -5) = 5(2x + 11) (7 * 3 + 5x * 3) + 2(3x + -5) = 5(2x + 11) (21 + 15x) + 2(3x + -5) = 5(2x + 11) Reorder the terms: 21 + 15x + 2(-5 + 3x) = 5(2x + 11) 21 + 15x + (-5 * 2 + 3x * 2) = 5(2x + 11) 21 + 15x + (-10 + 6x) = 5(2x + 11) Reorder the terms: 21 + -10 + 15x + 6x = 5(2x + 11) Combine like terms: 21 + -10 = 11 11 + 15x + 6x = 5(2x + 11) Combine like terms: 15x + 6x = 21x 11 + 21x = 5(2x + 11) Reorder the terms: 11 + 21x = 5(11 + 2x) 11 + 21x = (11 * 5 + 2x * 5) 11 + 21x = (55 + 10x) Solving 11 + 21x = 55 + 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. 11 + 21x + -10x = 55 + 10x + -10x Combine like terms: 21x + -10x = 11x 11 + 11x = 55 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + 11x = 55 + 0 11 + 11x = 55 Add '-11' to each side of the equation. 11 + -11 + 11x = 55 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = 55 + -11 11x = 55 + -11 Combine like terms: 55 + -11 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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