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Simplifying 4x + -7(3x + -7) = 5x + -6 Reorder the terms: 4x + -7(-7 + 3x) = 5x + -6 4x + (-7 * -7 + 3x * -7) = 5x + -6 4x + (49 + -21x) = 5x + -6 Reorder the terms: 49 + 4x + -21x = 5x + -6 Combine like terms: 4x + -21x = -17x 49 + -17x = 5x + -6 Reorder the terms: 49 + -17x = -6 + 5x Solving 49 + -17x = -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. 49 + -17x + -5x = -6 + 5x + -5x Combine like terms: -17x + -5x = -22x 49 + -22x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + -22x = -6 + 0 49 + -22x = -6 Add '-49' to each side of the equation. 49 + -49 + -22x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + -22x = -6 + -49 -22x = -6 + -49 Combine like terms: -6 + -49 = -55 -22x = -55 Divide each side by '-22'. x = 2.5 Simplifying x = 2.5
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