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Simplifying 3(2x + 5) + -2(3x + -3) = 2x + -3 Reorder the terms: 3(5 + 2x) + -2(3x + -3) = 2x + -3 (5 * 3 + 2x * 3) + -2(3x + -3) = 2x + -3 (15 + 6x) + -2(3x + -3) = 2x + -3 Reorder the terms: 15 + 6x + -2(-3 + 3x) = 2x + -3 15 + 6x + (-3 * -2 + 3x * -2) = 2x + -3 15 + 6x + (6 + -6x) = 2x + -3 Reorder the terms: 15 + 6 + 6x + -6x = 2x + -3 Combine like terms: 15 + 6 = 21 21 + 6x + -6x = 2x + -3 Combine like terms: 6x + -6x = 0 21 + 0 = 2x + -3 21 = 2x + -3 Reorder the terms: 21 = -3 + 2x Solving 21 = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -2x = -3 + 0 21 + -2x = -3 Add '-21' to each side of the equation. 21 + -21 + -2x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -3 + -21 -2x = -3 + -21 Combine like terms: -3 + -21 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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