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Simplifying 2x + 6(x + -3) = 2(x + 6) Reorder the terms: 2x + 6(-3 + x) = 2(x + 6) 2x + (-3 * 6 + x * 6) = 2(x + 6) 2x + (-18 + 6x) = 2(x + 6) Reorder the terms: -18 + 2x + 6x = 2(x + 6) Combine like terms: 2x + 6x = 8x -18 + 8x = 2(x + 6) Reorder the terms: -18 + 8x = 2(6 + x) -18 + 8x = (6 * 2 + x * 2) -18 + 8x = (12 + 2x) Solving -18 + 8x = 12 + 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. -18 + 8x + -2x = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x -18 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 6x = 12 + 0 -18 + 6x = 12 Add '18' to each side of the equation. -18 + 18 + 6x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 12 + 18 6x = 12 + 18 Combine like terms: 12 + 18 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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