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