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Simplifying 4x + 7(-3x + -8) = -2(-2x + -6) + 7 Reorder the terms: 4x + 7(-8 + -3x) = -2(-2x + -6) + 7 4x + (-8 * 7 + -3x * 7) = -2(-2x + -6) + 7 4x + (-56 + -21x) = -2(-2x + -6) + 7 Reorder the terms: -56 + 4x + -21x = -2(-2x + -6) + 7 Combine like terms: 4x + -21x = -17x -56 + -17x = -2(-2x + -6) + 7 Reorder the terms: -56 + -17x = -2(-6 + -2x) + 7 -56 + -17x = (-6 * -2 + -2x * -2) + 7 -56 + -17x = (12 + 4x) + 7 Reorder the terms: -56 + -17x = 12 + 7 + 4x Combine like terms: 12 + 7 = 19 -56 + -17x = 19 + 4x Solving -56 + -17x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -56 + -17x + -4x = 19 + 4x + -4x Combine like terms: -17x + -4x = -21x -56 + -21x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + -21x = 19 + 0 -56 + -21x = 19 Add '56' to each side of the equation. -56 + 56 + -21x = 19 + 56 Combine like terms: -56 + 56 = 0 0 + -21x = 19 + 56 -21x = 19 + 56 Combine like terms: 19 + 56 = 75 -21x = 75 Divide each side by '-21'. x = -3.571428571 Simplifying x = -3.571428571
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