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Simplifying 2x + 18 = 16 + -4(x + 7) Reorder the terms: 18 + 2x = 16 + -4(x + 7) Reorder the terms: 18 + 2x = 16 + -4(7 + x) 18 + 2x = 16 + (7 * -4 + x * -4) 18 + 2x = 16 + (-28 + -4x) Combine like terms: 16 + -28 = -12 18 + 2x = -12 + -4x Solving 18 + 2x = -12 + -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 = -12 + -4x + 4x Combine like terms: 2x + 4x = 6x 18 + 6x = -12 + -4x + 4x Combine like terms: -4x + 4x = 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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