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Simplifying 2(x + 9) = 4(x + 7) + 2 Reorder the terms: 2(9 + x) = 4(x + 7) + 2 (9 * 2 + x * 2) = 4(x + 7) + 2 (18 + 2x) = 4(x + 7) + 2 Reorder the terms: 18 + 2x = 4(7 + x) + 2 18 + 2x = (7 * 4 + x * 4) + 2 18 + 2x = (28 + 4x) + 2 Reorder the terms: 18 + 2x = 28 + 2 + 4x Combine like terms: 28 + 2 = 30 18 + 2x = 30 + 4x Solving 18 + 2x = 30 + 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. 18 + 2x + -4x = 30 + 4x + -4x Combine like terms: 2x + -4x = -2x 18 + -2x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -2x = 30 + 0 18 + -2x = 30 Add '-18' to each side of the equation. 18 + -18 + -2x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 30 + -18 -2x = 30 + -18 Combine like terms: 30 + -18 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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