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Simplifying 3(x + 2) + -11x = -7(x + 2) + -3 Reorder the terms: 3(2 + x) + -11x = -7(x + 2) + -3 (2 * 3 + x * 3) + -11x = -7(x + 2) + -3 (6 + 3x) + -11x = -7(x + 2) + -3 Combine like terms: 3x + -11x = -8x 6 + -8x = -7(x + 2) + -3 Reorder the terms: 6 + -8x = -7(2 + x) + -3 6 + -8x = (2 * -7 + x * -7) + -3 6 + -8x = (-14 + -7x) + -3 Reorder the terms: 6 + -8x = -14 + -3 + -7x Combine like terms: -14 + -3 = -17 6 + -8x = -17 + -7x Solving 6 + -8x = -17 + -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. 6 + -8x + 7x = -17 + -7x + 7x Combine like terms: -8x + 7x = -1x 6 + -1x = -17 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + -1x = -17 + 0 6 + -1x = -17 Add '-6' to each side of the equation. 6 + -6 + -1x = -17 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -17 + -6 -1x = -17 + -6 Combine like terms: -17 + -6 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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