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Simplifying 74 = -2x + -3[-4x + 12] Reorder the terms: 74 = -2x + -3[12 + -4x] 74 = -2x + [12 * -3 + -4x * -3] 74 = -2x + [-36 + 12x] Reorder the terms: 74 = -36 + -2x + 12x Combine like terms: -2x + 12x = 10x 74 = -36 + 10x Solving 74 = -36 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 74 + -10x = -36 + 10x + -10x Combine like terms: 10x + -10x = 0 74 + -10x = -36 + 0 74 + -10x = -36 Add '-74' to each side of the equation. 74 + -74 + -10x = -36 + -74 Combine like terms: 74 + -74 = 0 0 + -10x = -36 + -74 -10x = -36 + -74 Combine like terms: -36 + -74 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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