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Simplifying 3(2x + 1) = 2(x + -3) + 1 Reorder the terms: 3(1 + 2x) = 2(x + -3) + 1 (1 * 3 + 2x * 3) = 2(x + -3) + 1 (3 + 6x) = 2(x + -3) + 1 Reorder the terms: 3 + 6x = 2(-3 + x) + 1 3 + 6x = (-3 * 2 + x * 2) + 1 3 + 6x = (-6 + 2x) + 1 Reorder the terms: 3 + 6x = -6 + 1 + 2x Combine like terms: -6 + 1 = -5 3 + 6x = -5 + 2x Solving 3 + 6x = -5 + 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. 3 + 6x + -2x = -5 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = -5 + 0 3 + 4x = -5 Add '-3' to each side of the equation. 3 + -3 + 4x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -5 + -3 4x = -5 + -3 Combine like terms: -5 + -3 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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