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Simplifying (2x + 3) = 3(4x + 1) + -2(3x + 2) Reorder the terms: (3 + 2x) = 3(4x + 1) + -2(3x + 2) Remove parenthesis around (3 + 2x) 3 + 2x = 3(4x + 1) + -2(3x + 2) Reorder the terms: 3 + 2x = 3(1 + 4x) + -2(3x + 2) 3 + 2x = (1 * 3 + 4x * 3) + -2(3x + 2) 3 + 2x = (3 + 12x) + -2(3x + 2) Reorder the terms: 3 + 2x = 3 + 12x + -2(2 + 3x) 3 + 2x = 3 + 12x + (2 * -2 + 3x * -2) 3 + 2x = 3 + 12x + (-4 + -6x) Reorder the terms: 3 + 2x = 3 + -4 + 12x + -6x Combine like terms: 3 + -4 = -1 3 + 2x = -1 + 12x + -6x Combine like terms: 12x + -6x = 6x 3 + 2x = -1 + 6x Solving 3 + 2x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 2x + -6x = -1 + 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = -1 + 0 3 + -4x = -1 Add '-3' to each side of the equation. 3 + -3 + -4x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -1 + -3 -4x = -1 + -3 Combine like terms: -1 + -3 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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