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Simplifying 3(2x + 1) = 2(x + -2) Reorder the terms: 3(1 + 2x) = 2(x + -2) (1 * 3 + 2x * 3) = 2(x + -2) (3 + 6x) = 2(x + -2) Reorder the terms: 3 + 6x = 2(-2 + x) 3 + 6x = (-2 * 2 + x * 2) 3 + 6x = (-4 + 2x) Solving 3 + 6x = -4 + 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 = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = -4 + 0 3 + 4x = -4 Add '-3' to each side of the equation. 3 + -3 + 4x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -4 + -3 4x = -4 + -3 Combine like terms: -4 + -3 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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