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Simplifying 3x + 5 + 2x + -8 = -1x + -12 + 11x + -3 Reorder the terms: 5 + -8 + 3x + 2x = -1x + -12 + 11x + -3 Combine like terms: 5 + -8 = -3 -3 + 3x + 2x = -1x + -12 + 11x + -3 Combine like terms: 3x + 2x = 5x -3 + 5x = -1x + -12 + 11x + -3 Reorder the terms: -3 + 5x = -12 + -3 + -1x + 11x Combine like terms: -12 + -3 = -15 -3 + 5x = -15 + -1x + 11x Combine like terms: -1x + 11x = 10x -3 + 5x = -15 + 10x Solving -3 + 5x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 5x + -10x = -15 + 10x + -10x Combine like terms: 5x + -10x = -5x -3 + -5x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -5x = -15 + 0 -3 + -5x = -15 Add '3' to each side of the equation. -3 + 3 + -5x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -15 + 3 -5x = -15 + 3 Combine like terms: -15 + 3 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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