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Simplifying 2(x + 14) = 3 + -7(x + -1) Reorder the terms: 2(14 + x) = 3 + -7(x + -1) (14 * 2 + x * 2) = 3 + -7(x + -1) (28 + 2x) = 3 + -7(x + -1) Reorder the terms: 28 + 2x = 3 + -7(-1 + x) 28 + 2x = 3 + (-1 * -7 + x * -7) 28 + 2x = 3 + (7 + -7x) Combine like terms: 3 + 7 = 10 28 + 2x = 10 + -7x Solving 28 + 2x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 28 + 2x + 7x = 10 + -7x + 7x Combine like terms: 2x + 7x = 9x 28 + 9x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 28 + 9x = 10 + 0 28 + 9x = 10 Add '-28' to each side of the equation. 28 + -28 + 9x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 9x = 10 + -28 9x = 10 + -28 Combine like terms: 10 + -28 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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