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Simplifying -7x + 8 + -3x + 12 = 8x + -5 + -3x Reorder the terms: 8 + 12 + -7x + -3x = 8x + -5 + -3x Combine like terms: 8 + 12 = 20 20 + -7x + -3x = 8x + -5 + -3x Combine like terms: -7x + -3x = -10x 20 + -10x = 8x + -5 + -3x Reorder the terms: 20 + -10x = -5 + 8x + -3x Combine like terms: 8x + -3x = 5x 20 + -10x = -5 + 5x Solving 20 + -10x = -5 + 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. 20 + -10x + -5x = -5 + 5x + -5x Combine like terms: -10x + -5x = -15x 20 + -15x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -15x = -5 + 0 20 + -15x = -5 Add '-20' to each side of the equation. 20 + -20 + -15x = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = -5 + -20 -15x = -5 + -20 Combine like terms: -5 + -20 = -25 -15x = -25 Divide each side by '-15'. x = 1.666666667 Simplifying x = 1.666666667
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