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Simplifying -3(4x + 7) = 5x + 6 Reorder the terms: -3(7 + 4x) = 5x + 6 (7 * -3 + 4x * -3) = 5x + 6 (-21 + -12x) = 5x + 6 Reorder the terms: -21 + -12x = 6 + 5x Solving -21 + -12x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -12x + -5x = 6 + 5x + -5x Combine like terms: -12x + -5x = -17x -21 + -17x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -17x = 6 + 0 -21 + -17x = 6 Add '21' to each side of the equation. -21 + 21 + -17x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -17x = 6 + 21 -17x = 6 + 21 Combine like terms: 6 + 21 = 27 -17x = 27 Divide each side by '-17'. x = -1.588235294 Simplifying x = -1.588235294
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