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Simplifying 15x + -1(7x + 6) = 11 + -1(x + -10) Reorder the terms: 15x + -1(6 + 7x) = 11 + -1(x + -10) 15x + (6 * -1 + 7x * -1) = 11 + -1(x + -10) 15x + (-6 + -7x) = 11 + -1(x + -10) Reorder the terms: -6 + 15x + -7x = 11 + -1(x + -10) Combine like terms: 15x + -7x = 8x -6 + 8x = 11 + -1(x + -10) Reorder the terms: -6 + 8x = 11 + -1(-10 + x) -6 + 8x = 11 + (-10 * -1 + x * -1) -6 + 8x = 11 + (10 + -1x) Combine like terms: 11 + 10 = 21 -6 + 8x = 21 + -1x Solving -6 + 8x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 8x + x = 21 + -1x + x Combine like terms: 8x + x = 9x -6 + 9x = 21 + -1x + x Combine like terms: -1x + x = 0 -6 + 9x = 21 + 0 -6 + 9x = 21 Add '6' to each side of the equation. -6 + 6 + 9x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 21 + 6 9x = 21 + 6 Combine like terms: 21 + 6 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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