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Simplifying 10x + -13 = 12x + -27 Reorder the terms: -13 + 10x = 12x + -27 Reorder the terms: -13 + 10x = -27 + 12x Solving -13 + 10x = -27 + 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 + 10x + -12x = -27 + 12x + -12x Combine like terms: 10x + -12x = -2x -13 + -2x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -2x = -27 + 0 -13 + -2x = -27 Add '13' to each side of the equation. -13 + 13 + -2x = -27 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -27 + 13 -2x = -27 + 13 Combine like terms: -27 + 13 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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