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Simplifying 8 + -3(4x + -5) = 12 + -1x Reorder the terms: 8 + -3(-5 + 4x) = 12 + -1x 8 + (-5 * -3 + 4x * -3) = 12 + -1x 8 + (15 + -12x) = 12 + -1x Combine like terms: 8 + 15 = 23 23 + -12x = 12 + -1x Solving 23 + -12x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 23 + -12x + x = 12 + -1x + x Combine like terms: -12x + x = -11x 23 + -11x = 12 + -1x + x Combine like terms: -1x + x = 0 23 + -11x = 12 + 0 23 + -11x = 12 Add '-23' to each side of the equation. 23 + -23 + -11x = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = 12 + -23 -11x = 12 + -23 Combine like terms: 12 + -23 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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