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Simplifying 3(2x + 1) = 6 + -5(2x + -3) Reorder the terms: 3(1 + 2x) = 6 + -5(2x + -3) (1 * 3 + 2x * 3) = 6 + -5(2x + -3) (3 + 6x) = 6 + -5(2x + -3) Reorder the terms: 3 + 6x = 6 + -5(-3 + 2x) 3 + 6x = 6 + (-3 * -5 + 2x * -5) 3 + 6x = 6 + (15 + -10x) Combine like terms: 6 + 15 = 21 3 + 6x = 21 + -10x Solving 3 + 6x = 21 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + 6x + 10x = 21 + -10x + 10x Combine like terms: 6x + 10x = 16x 3 + 16x = 21 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 16x = 21 + 0 3 + 16x = 21 Add '-3' to each side of the equation. 3 + -3 + 16x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 21 + -3 16x = 21 + -3 Combine like terms: 21 + -3 = 18 16x = 18 Divide each side by '16'. x = 1.125 Simplifying x = 1.125
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