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Simplifying 4(4x + -3) + 39 = 12x + -1 Reorder the terms: 4(-3 + 4x) + 39 = 12x + -1 (-3 * 4 + 4x * 4) + 39 = 12x + -1 (-12 + 16x) + 39 = 12x + -1 Reorder the terms: -12 + 39 + 16x = 12x + -1 Combine like terms: -12 + 39 = 27 27 + 16x = 12x + -1 Reorder the terms: 27 + 16x = -1 + 12x Solving 27 + 16x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + 16x + -12x = -1 + 12x + -12x Combine like terms: 16x + -12x = 4x 27 + 4x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + 4x = -1 + 0 27 + 4x = -1 Add '-27' to each side of the equation. 27 + -27 + 4x = -1 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = -1 + -27 4x = -1 + -27 Combine like terms: -1 + -27 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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