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Simplifying 2(4x + 2) + -6(x + -3) = 3 Reorder the terms: 2(2 + 4x) + -6(x + -3) = 3 (2 * 2 + 4x * 2) + -6(x + -3) = 3 (4 + 8x) + -6(x + -3) = 3 Reorder the terms: 4 + 8x + -6(-3 + x) = 3 4 + 8x + (-3 * -6 + x * -6) = 3 4 + 8x + (18 + -6x) = 3 Reorder the terms: 4 + 18 + 8x + -6x = 3 Combine like terms: 4 + 18 = 22 22 + 8x + -6x = 3 Combine like terms: 8x + -6x = 2x 22 + 2x = 3 Solving 22 + 2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 3 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 3 + -22 2x = 3 + -22 Combine like terms: 3 + -22 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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