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Simplifying 7x + -2(8x + 1) = 6 + -1(15 + 2) Reorder the terms: 7x + -2(1 + 8x) = 6 + -1(15 + 2) 7x + (1 * -2 + 8x * -2) = 6 + -1(15 + 2) 7x + (-2 + -16x) = 6 + -1(15 + 2) Reorder the terms: -2 + 7x + -16x = 6 + -1(15 + 2) Combine like terms: 7x + -16x = -9x -2 + -9x = 6 + -1(15 + 2) Combine like terms: 15 + 2 = 17 -2 + -9x = 6 + -1(17) Multiply -1 * 17 -2 + -9x = 6 + -17 Combine like terms: 6 + -17 = -11 -2 + -9x = -11 Solving -2 + -9x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -9x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -11 + 2 -9x = -11 + 2 Combine like terms: -11 + 2 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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