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Simplifying -7(x + 4) + -18 = 16 + 1 Reorder the terms: -7(4 + x) + -18 = 16 + 1 (4 * -7 + x * -7) + -18 = 16 + 1 (-28 + -7x) + -18 = 16 + 1 Reorder the terms: -28 + -18 + -7x = 16 + 1 Combine like terms: -28 + -18 = -46 -46 + -7x = 16 + 1 Combine like terms: 16 + 1 = 17 -46 + -7x = 17 Solving -46 + -7x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -7x = 17 + 46 Combine like terms: -46 + 46 = 0 0 + -7x = 17 + 46 -7x = 17 + 46 Combine like terms: 17 + 46 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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