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Simplifying 6(11 + -1x) + 8 = -8(x + -4) + -4 (11 * 6 + -1x * 6) + 8 = -8(x + -4) + -4 (66 + -6x) + 8 = -8(x + -4) + -4 Reorder the terms: 66 + 8 + -6x = -8(x + -4) + -4 Combine like terms: 66 + 8 = 74 74 + -6x = -8(x + -4) + -4 Reorder the terms: 74 + -6x = -8(-4 + x) + -4 74 + -6x = (-4 * -8 + x * -8) + -4 74 + -6x = (32 + -8x) + -4 Reorder the terms: 74 + -6x = 32 + -4 + -8x Combine like terms: 32 + -4 = 28 74 + -6x = 28 + -8x Solving 74 + -6x = 28 + -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. 74 + -6x + 8x = 28 + -8x + 8x Combine like terms: -6x + 8x = 2x 74 + 2x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 74 + 2x = 28 + 0 74 + 2x = 28 Add '-74' to each side of the equation. 74 + -74 + 2x = 28 + -74 Combine like terms: 74 + -74 = 0 0 + 2x = 28 + -74 2x = 28 + -74 Combine like terms: 28 + -74 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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