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Simplifying 2(3x + 6) + -3(-3x + 5) = 13(10 + -1) Reorder the terms: 2(6 + 3x) + -3(-3x + 5) = 13(10 + -1) (6 * 2 + 3x * 2) + -3(-3x + 5) = 13(10 + -1) (12 + 6x) + -3(-3x + 5) = 13(10 + -1) Reorder the terms: 12 + 6x + -3(5 + -3x) = 13(10 + -1) 12 + 6x + (5 * -3 + -3x * -3) = 13(10 + -1) 12 + 6x + (-15 + 9x) = 13(10 + -1) Reorder the terms: 12 + -15 + 6x + 9x = 13(10 + -1) Combine like terms: 12 + -15 = -3 -3 + 6x + 9x = 13(10 + -1) Combine like terms: 6x + 9x = 15x -3 + 15x = 13(10 + -1) Combine like terms: 10 + -1 = 9 -3 + 15x = 13(9) Multiply 13 * 9 -3 + 15x = 117 Solving -3 + 15x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 15x = 117 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = 117 + 3 15x = 117 + 3 Combine like terms: 117 + 3 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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