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Simplifying 14 = 5x + -1(-2x + 21) Reorder the terms: 14 = 5x + -1(21 + -2x) 14 = 5x + (21 * -1 + -2x * -1) 14 = 5x + (-21 + 2x) Reorder the terms: 14 = -21 + 5x + 2x Combine like terms: 5x + 2x = 7x 14 = -21 + 7x Solving 14 = -21 + 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. 14 + -7x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -7x = -21 + 0 14 + -7x = -21 Add '-14' to each side of the equation. 14 + -14 + -7x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -21 + -14 -7x = -21 + -14 Combine like terms: -21 + -14 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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