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Simplifying 6(2x + 5) + -3(5x + -2) = 9 Reorder the terms: 6(5 + 2x) + -3(5x + -2) = 9 (5 * 6 + 2x * 6) + -3(5x + -2) = 9 (30 + 12x) + -3(5x + -2) = 9 Reorder the terms: 30 + 12x + -3(-2 + 5x) = 9 30 + 12x + (-2 * -3 + 5x * -3) = 9 30 + 12x + (6 + -15x) = 9 Reorder the terms: 30 + 6 + 12x + -15x = 9 Combine like terms: 30 + 6 = 36 36 + 12x + -15x = 9 Combine like terms: 12x + -15x = -3x 36 + -3x = 9 Solving 36 + -3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -3x = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 9 + -36 -3x = 9 + -36 Combine like terms: 9 + -36 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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