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Simplifying 3(5x + 2) + -4(3x + 2) = 10 Reorder the terms: 3(2 + 5x) + -4(3x + 2) = 10 (2 * 3 + 5x * 3) + -4(3x + 2) = 10 (6 + 15x) + -4(3x + 2) = 10 Reorder the terms: 6 + 15x + -4(2 + 3x) = 10 6 + 15x + (2 * -4 + 3x * -4) = 10 6 + 15x + (-8 + -12x) = 10 Reorder the terms: 6 + -8 + 15x + -12x = 10 Combine like terms: 6 + -8 = -2 -2 + 15x + -12x = 10 Combine like terms: 15x + -12x = 3x -2 + 3x = 10 Solving -2 + 3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 10 + 2 3x = 10 + 2 Combine like terms: 10 + 2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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