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Simplifying 5x + 14 = -3(-5x + -8) Reorder the terms: 14 + 5x = -3(-5x + -8) Reorder the terms: 14 + 5x = -3(-8 + -5x) 14 + 5x = (-8 * -3 + -5x * -3) 14 + 5x = (24 + 15x) Solving 14 + 5x = 24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14 + 5x + -15x = 24 + 15x + -15x Combine like terms: 5x + -15x = -10x 14 + -10x = 24 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -10x = 24 + 0 14 + -10x = 24 Add '-14' to each side of the equation. 14 + -14 + -10x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 24 + -14 -10x = 24 + -14 Combine like terms: 24 + -14 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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