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Simplifying -10x + -171 = 5x + 84 Reorder the terms: -171 + -10x = 5x + 84 Reorder the terms: -171 + -10x = 84 + 5x Solving -171 + -10x = 84 + 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. -171 + -10x + -5x = 84 + 5x + -5x Combine like terms: -10x + -5x = -15x -171 + -15x = 84 + 5x + -5x Combine like terms: 5x + -5x = 0 -171 + -15x = 84 + 0 -171 + -15x = 84 Add '171' to each side of the equation. -171 + 171 + -15x = 84 + 171 Combine like terms: -171 + 171 = 0 0 + -15x = 84 + 171 -15x = 84 + 171 Combine like terms: 84 + 171 = 255 -15x = 255 Divide each side by '-15'. x = -17 Simplifying x = -17
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