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Simplifying 278 = -2 + 2[6(-2x + 8) + -4] Reorder the terms: 278 = -2 + 2[6(8 + -2x) + -4] 278 = -2 + 2[(8 * 6 + -2x * 6) + -4] 278 = -2 + 2[(48 + -12x) + -4] Reorder the terms: 278 = -2 + 2[48 + -4 + -12x] Combine like terms: 48 + -4 = 44 278 = -2 + 2[44 + -12x] 278 = -2 + [44 * 2 + -12x * 2] 278 = -2 + [88 + -24x] Combine like terms: -2 + 88 = 86 278 = 86 + -24x Solving 278 = 86 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 278 + 24x = 86 + -24x + 24x Combine like terms: -24x + 24x = 0 278 + 24x = 86 + 0 278 + 24x = 86 Add '-278' to each side of the equation. 278 + -278 + 24x = 86 + -278 Combine like terms: 278 + -278 = 0 0 + 24x = 86 + -278 24x = 86 + -278 Combine like terms: 86 + -278 = -192 24x = -192 Divide each side by '24'. x = -8 Simplifying x = -8
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