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Simplifying 3(4x + 5) = 5(-3x + 7) + 10 Reorder the terms: 3(5 + 4x) = 5(-3x + 7) + 10 (5 * 3 + 4x * 3) = 5(-3x + 7) + 10 (15 + 12x) = 5(-3x + 7) + 10 Reorder the terms: 15 + 12x = 5(7 + -3x) + 10 15 + 12x = (7 * 5 + -3x * 5) + 10 15 + 12x = (35 + -15x) + 10 Reorder the terms: 15 + 12x = 35 + 10 + -15x Combine like terms: 35 + 10 = 45 15 + 12x = 45 + -15x Solving 15 + 12x = 45 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 15 + 12x + 15x = 45 + -15x + 15x Combine like terms: 12x + 15x = 27x 15 + 27x = 45 + -15x + 15x Combine like terms: -15x + 15x = 0 15 + 27x = 45 + 0 15 + 27x = 45 Add '-15' to each side of the equation. 15 + -15 + 27x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 27x = 45 + -15 27x = 45 + -15 Combine like terms: 45 + -15 = 30 27x = 30 Divide each side by '27'. x = 1.111111111 Simplifying x = 1.111111111
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