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Simplifying 12 + -4(x + -3) = 12 + -1(5 + -1x) Reorder the terms: 12 + -4(-3 + x) = 12 + -1(5 + -1x) 12 + (-3 * -4 + x * -4) = 12 + -1(5 + -1x) 12 + (12 + -4x) = 12 + -1(5 + -1x) Combine like terms: 12 + 12 = 24 24 + -4x = 12 + -1(5 + -1x) 24 + -4x = 12 + (5 * -1 + -1x * -1) 24 + -4x = 12 + (-5 + 1x) Combine like terms: 12 + -5 = 7 24 + -4x = 7 + 1x Solving 24 + -4x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -4x + -1x = 7 + 1x + -1x Combine like terms: -4x + -1x = -5x 24 + -5x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + -5x = 7 + 0 24 + -5x = 7 Add '-24' to each side of the equation. 24 + -24 + -5x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 7 + -24 -5x = 7 + -24 Combine like terms: 7 + -24 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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