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Simplifying 11 + 3x = 8x + -3(-8x + 6) Reorder the terms: 11 + 3x = 8x + -3(6 + -8x) 11 + 3x = 8x + (6 * -3 + -8x * -3) 11 + 3x = 8x + (-18 + 24x) Reorder the terms: 11 + 3x = -18 + 8x + 24x Combine like terms: 8x + 24x = 32x 11 + 3x = -18 + 32x Solving 11 + 3x = -18 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 11 + 3x + -32x = -18 + 32x + -32x Combine like terms: 3x + -32x = -29x 11 + -29x = -18 + 32x + -32x Combine like terms: 32x + -32x = 0 11 + -29x = -18 + 0 11 + -29x = -18 Add '-11' to each side of the equation. 11 + -11 + -29x = -18 + -11 Combine like terms: 11 + -11 = 0 0 + -29x = -18 + -11 -29x = -18 + -11 Combine like terms: -18 + -11 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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