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Simplifying 15x + 15 + -2x + -99 = 5x + 32 + -4x + -152 Reorder the terms: 15 + -99 + 15x + -2x = 5x + 32 + -4x + -152 Combine like terms: 15 + -99 = -84 -84 + 15x + -2x = 5x + 32 + -4x + -152 Combine like terms: 15x + -2x = 13x -84 + 13x = 5x + 32 + -4x + -152 Reorder the terms: -84 + 13x = 32 + -152 + 5x + -4x Combine like terms: 32 + -152 = -120 -84 + 13x = -120 + 5x + -4x Combine like terms: 5x + -4x = 1x -84 + 13x = -120 + 1x Solving -84 + 13x = -120 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -84 + 13x + -1x = -120 + 1x + -1x Combine like terms: 13x + -1x = 12x -84 + 12x = -120 + 1x + -1x Combine like terms: 1x + -1x = 0 -84 + 12x = -120 + 0 -84 + 12x = -120 Add '84' to each side of the equation. -84 + 84 + 12x = -120 + 84 Combine like terms: -84 + 84 = 0 0 + 12x = -120 + 84 12x = -120 + 84 Combine like terms: -120 + 84 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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