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Simplifying 6x + 4x + -15 = 2 + -1(12x + -7) Reorder the terms: -15 + 6x + 4x = 2 + -1(12x + -7) Combine like terms: 6x + 4x = 10x -15 + 10x = 2 + -1(12x + -7) Reorder the terms: -15 + 10x = 2 + -1(-7 + 12x) -15 + 10x = 2 + (-7 * -1 + 12x * -1) -15 + 10x = 2 + (7 + -12x) Combine like terms: 2 + 7 = 9 -15 + 10x = 9 + -12x Solving -15 + 10x = 9 + -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. -15 + 10x + 12x = 9 + -12x + 12x Combine like terms: 10x + 12x = 22x -15 + 22x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 22x = 9 + 0 -15 + 22x = 9 Add '15' to each side of the equation. -15 + 15 + 22x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 9 + 15 22x = 9 + 15 Combine like terms: 9 + 15 = 24 22x = 24 Divide each side by '22'. x = 1.090909091 Simplifying x = 1.090909091
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