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Simplifying 6 + -4(2 + -3x) = 74 + -2(3 + -1x) 6 + (2 * -4 + -3x * -4) = 74 + -2(3 + -1x) 6 + (-8 + 12x) = 74 + -2(3 + -1x) Combine like terms: 6 + -8 = -2 -2 + 12x = 74 + -2(3 + -1x) -2 + 12x = 74 + (3 * -2 + -1x * -2) -2 + 12x = 74 + (-6 + 2x) Combine like terms: 74 + -6 = 68 -2 + 12x = 68 + 2x Solving -2 + 12x = 68 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 12x + -2x = 68 + 2x + -2x Combine like terms: 12x + -2x = 10x -2 + 10x = 68 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 10x = 68 + 0 -2 + 10x = 68 Add '2' to each side of the equation. -2 + 2 + 10x = 68 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 68 + 2 10x = 68 + 2 Combine like terms: 68 + 2 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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