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Simplifying 2(x + 9) = 10 + -4(x + 7) Reorder the terms: 2(9 + x) = 10 + -4(x + 7) (9 * 2 + x * 2) = 10 + -4(x + 7) (18 + 2x) = 10 + -4(x + 7) Reorder the terms: 18 + 2x = 10 + -4(7 + x) 18 + 2x = 10 + (7 * -4 + x * -4) 18 + 2x = 10 + (-28 + -4x) Combine like terms: 10 + -28 = -18 18 + 2x = -18 + -4x Solving 18 + 2x = -18 + -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 = -18 + -4x + 4x Combine like terms: 2x + 4x = 6x 18 + 6x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 6x = -18 + 0 18 + 6x = -18 Add '-18' to each side of the equation. 18 + -18 + 6x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -18 + -18 6x = -18 + -18 Combine like terms: -18 + -18 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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