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Simplifying 10x + 7x + 13 = 12x + 7 Reorder the terms: 13 + 10x + 7x = 12x + 7 Combine like terms: 10x + 7x = 17x 13 + 17x = 12x + 7 Reorder the terms: 13 + 17x = 7 + 12x Solving 13 + 17x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13 + 17x + -12x = 7 + 12x + -12x Combine like terms: 17x + -12x = 5x 13 + 5x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + 5x = 7 + 0 13 + 5x = 7 Add '-13' to each side of the equation. 13 + -13 + 5x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 7 + -13 5x = 7 + -13 Combine like terms: 7 + -13 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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