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Simplifying 3(2x + 3) = 5x + -1(1x + -3) Reorder the terms: 3(3 + 2x) = 5x + -1(1x + -3) (3 * 3 + 2x * 3) = 5x + -1(1x + -3) (9 + 6x) = 5x + -1(1x + -3) Reorder the terms: 9 + 6x = 5x + -1(-3 + 1x) 9 + 6x = 5x + (-3 * -1 + 1x * -1) 9 + 6x = 5x + (3 + -1x) Reorder the terms: 9 + 6x = 3 + 5x + -1x Combine like terms: 5x + -1x = 4x 9 + 6x = 3 + 4x Solving 9 + 6x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 6x + -4x = 3 + 4x + -4x Combine like terms: 6x + -4x = 2x 9 + 2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 2x = 3 + 0 9 + 2x = 3 Add '-9' to each side of the equation. 9 + -9 + 2x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 3 + -9 2x = 3 + -9 Combine like terms: 3 + -9 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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