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Simplifying 2(11 + -1x) + 8 = -8(x + -3) + -6 (11 * 2 + -1x * 2) + 8 = -8(x + -3) + -6 (22 + -2x) + 8 = -8(x + -3) + -6 Reorder the terms: 22 + 8 + -2x = -8(x + -3) + -6 Combine like terms: 22 + 8 = 30 30 + -2x = -8(x + -3) + -6 Reorder the terms: 30 + -2x = -8(-3 + x) + -6 30 + -2x = (-3 * -8 + x * -8) + -6 30 + -2x = (24 + -8x) + -6 Reorder the terms: 30 + -2x = 24 + -6 + -8x Combine like terms: 24 + -6 = 18 30 + -2x = 18 + -8x Solving 30 + -2x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + -2x + 8x = 18 + -8x + 8x Combine like terms: -2x + 8x = 6x 30 + 6x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + 6x = 18 + 0 30 + 6x = 18 Add '-30' to each side of the equation. 30 + -30 + 6x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 18 + -30 6x = 18 + -30 Combine like terms: 18 + -30 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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