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Simplifying 5x = 14 + -1(2x + 42) Reorder the terms: 5x = 14 + -1(42 + 2x) 5x = 14 + (42 * -1 + 2x * -1) 5x = 14 + (-42 + -2x) Combine like terms: 14 + -42 = -28 5x = -28 + -2x Solving 5x = -28 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5x + 2x = -28 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = -28 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = -28 + 0 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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