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