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Simplifying -3(4x + 1) + 6 = 4x + 36 + -5x Reorder the terms: -3(1 + 4x) + 6 = 4x + 36 + -5x (1 * -3 + 4x * -3) + 6 = 4x + 36 + -5x (-3 + -12x) + 6 = 4x + 36 + -5x Reorder the terms: -3 + 6 + -12x = 4x + 36 + -5x Combine like terms: -3 + 6 = 3 3 + -12x = 4x + 36 + -5x Reorder the terms: 3 + -12x = 36 + 4x + -5x Combine like terms: 4x + -5x = -1x 3 + -12x = 36 + -1x Solving 3 + -12x = 36 + -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. 3 + -12x + x = 36 + -1x + x Combine like terms: -12x + x = -11x 3 + -11x = 36 + -1x + x Combine like terms: -1x + x = 0 3 + -11x = 36 + 0 3 + -11x = 36 Add '-3' to each side of the equation. 3 + -3 + -11x = 36 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 36 + -3 -11x = 36 + -3 Combine like terms: 36 + -3 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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