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Simplifying 2(6x + 2) + -3(2x + -5) = 2(2x + 3) Reorder the terms: 2(2 + 6x) + -3(2x + -5) = 2(2x + 3) (2 * 2 + 6x * 2) + -3(2x + -5) = 2(2x + 3) (4 + 12x) + -3(2x + -5) = 2(2x + 3) Reorder the terms: 4 + 12x + -3(-5 + 2x) = 2(2x + 3) 4 + 12x + (-5 * -3 + 2x * -3) = 2(2x + 3) 4 + 12x + (15 + -6x) = 2(2x + 3) Reorder the terms: 4 + 15 + 12x + -6x = 2(2x + 3) Combine like terms: 4 + 15 = 19 19 + 12x + -6x = 2(2x + 3) Combine like terms: 12x + -6x = 6x 19 + 6x = 2(2x + 3) Reorder the terms: 19 + 6x = 2(3 + 2x) 19 + 6x = (3 * 2 + 2x * 2) 19 + 6x = (6 + 4x) Solving 19 + 6x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + 6x + -4x = 6 + 4x + -4x Combine like terms: 6x + -4x = 2x 19 + 2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + 2x = 6 + 0 19 + 2x = 6 Add '-19' to each side of the equation. 19 + -19 + 2x = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 6 + -19 2x = 6 + -19 Combine like terms: 6 + -19 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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