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Simplifying 5x + -27 + 7x + -26 = 10x + -23 Reorder the terms: -27 + -26 + 5x + 7x = 10x + -23 Combine like terms: -27 + -26 = -53 -53 + 5x + 7x = 10x + -23 Combine like terms: 5x + 7x = 12x -53 + 12x = 10x + -23 Reorder the terms: -53 + 12x = -23 + 10x Solving -53 + 12x = -23 + 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. -53 + 12x + -10x = -23 + 10x + -10x Combine like terms: 12x + -10x = 2x -53 + 2x = -23 + 10x + -10x Combine like terms: 10x + -10x = 0 -53 + 2x = -23 + 0 -53 + 2x = -23 Add '53' to each side of the equation. -53 + 53 + 2x = -23 + 53 Combine like terms: -53 + 53 = 0 0 + 2x = -23 + 53 2x = -23 + 53 Combine like terms: -23 + 53 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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