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Simplifying 2x + 3(2x + -6) = 6 + 4x + -3 + 2x Reorder the terms: 2x + 3(-6 + 2x) = 6 + 4x + -3 + 2x 2x + (-6 * 3 + 2x * 3) = 6 + 4x + -3 + 2x 2x + (-18 + 6x) = 6 + 4x + -3 + 2x Reorder the terms: -18 + 2x + 6x = 6 + 4x + -3 + 2x Combine like terms: 2x + 6x = 8x -18 + 8x = 6 + 4x + -3 + 2x Reorder the terms: -18 + 8x = 6 + -3 + 4x + 2x Combine like terms: 6 + -3 = 3 -18 + 8x = 3 + 4x + 2x Combine like terms: 4x + 2x = 6x -18 + 8x = 3 + 6x Solving -18 + 8x = 3 + 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. -18 + 8x + -6x = 3 + 6x + -6x Combine like terms: 8x + -6x = 2x -18 + 2x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 2x = 3 + 0 -18 + 2x = 3 Add '18' to each side of the equation. -18 + 18 + 2x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 3 + 18 2x = 3 + 18 Combine like terms: 3 + 18 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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