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Simplifying 2(5x + -6) = 17x + 7 Reorder the terms: 2(-6 + 5x) = 17x + 7 (-6 * 2 + 5x * 2) = 17x + 7 (-12 + 10x) = 17x + 7 Reorder the terms: -12 + 10x = 7 + 17x Solving -12 + 10x = 7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -12 + 10x + -17x = 7 + 17x + -17x Combine like terms: 10x + -17x = -7x -12 + -7x = 7 + 17x + -17x Combine like terms: 17x + -17x = 0 -12 + -7x = 7 + 0 -12 + -7x = 7 Add '12' to each side of the equation. -12 + 12 + -7x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 7 + 12 -7x = 7 + 12 Combine like terms: 7 + 12 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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