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Simplifying 6x + 14 = -3 + -1(3x + -8) Reorder the terms: 14 + 6x = -3 + -1(3x + -8) Reorder the terms: 14 + 6x = -3 + -1(-8 + 3x) 14 + 6x = -3 + (-8 * -1 + 3x * -1) 14 + 6x = -3 + (8 + -3x) Combine like terms: -3 + 8 = 5 14 + 6x = 5 + -3x Solving 14 + 6x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 6x + 3x = 5 + -3x + 3x Combine like terms: 6x + 3x = 9x 14 + 9x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 9x = 5 + 0 14 + 9x = 5 Add '-14' to each side of the equation. 14 + -14 + 9x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 5 + -14 9x = 5 + -14 Combine like terms: 5 + -14 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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