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Simplifying 11 + -3(x + 6) = 15 + -7(x + 2) Reorder the terms: 11 + -3(6 + x) = 15 + -7(x + 2) 11 + (6 * -3 + x * -3) = 15 + -7(x + 2) 11 + (-18 + -3x) = 15 + -7(x + 2) Combine like terms: 11 + -18 = -7 -7 + -3x = 15 + -7(x + 2) Reorder the terms: -7 + -3x = 15 + -7(2 + x) -7 + -3x = 15 + (2 * -7 + x * -7) -7 + -3x = 15 + (-14 + -7x) Combine like terms: 15 + -14 = 1 -7 + -3x = 1 + -7x Solving -7 + -3x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + -3x + 7x = 1 + -7x + 7x Combine like terms: -3x + 7x = 4x -7 + 4x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 4x = 1 + 0 -7 + 4x = 1 Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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