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Simplifying 1x + 6x + -7 + -6 = 12x + 15 Reorder the terms: -7 + -6 + 1x + 6x = 12x + 15 Combine like terms: -7 + -6 = -13 -13 + 1x + 6x = 12x + 15 Combine like terms: 1x + 6x = 7x -13 + 7x = 12x + 15 Reorder the terms: -13 + 7x = 15 + 12x Solving -13 + 7x = 15 + 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 + 7x + -12x = 15 + 12x + -12x Combine like terms: 7x + -12x = -5x -13 + -5x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -5x = 15 + 0 -13 + -5x = 15 Add '13' to each side of the equation. -13 + 13 + -5x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 15 + 13 -5x = 15 + 13 Combine like terms: 15 + 13 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6
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