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Simplifying 15x + -1(5x + 4) + 14 = 5x Reorder the terms: 15x + -1(4 + 5x) + 14 = 5x 15x + (4 * -1 + 5x * -1) + 14 = 5x 15x + (-4 + -5x) + 14 = 5x Reorder the terms: -4 + 14 + 15x + -5x = 5x Combine like terms: -4 + 14 = 10 10 + 15x + -5x = 5x Combine like terms: 15x + -5x = 10x 10 + 10x = 5x Solving 10 + 10x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 10x + -5x = 5x + -5x Combine like terms: 10x + -5x = 5x 10 + 5x = 5x + -5x Combine like terms: 5x + -5x = 0 10 + 5x = 0 Add '-10' to each side of the equation. 10 + -10 + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 0 + -10 5x = 0 + -10 Combine like terms: 0 + -10 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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