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Simplifying 2(7x + -3) = 7(3x + -8) Reorder the terms: 2(-3 + 7x) = 7(3x + -8) (-3 * 2 + 7x * 2) = 7(3x + -8) (-6 + 14x) = 7(3x + -8) Reorder the terms: -6 + 14x = 7(-8 + 3x) -6 + 14x = (-8 * 7 + 3x * 7) -6 + 14x = (-56 + 21x) Solving -6 + 14x = -56 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -6 + 14x + -21x = -56 + 21x + -21x Combine like terms: 14x + -21x = -7x -6 + -7x = -56 + 21x + -21x Combine like terms: 21x + -21x = 0 -6 + -7x = -56 + 0 -6 + -7x = -56 Add '6' to each side of the equation. -6 + 6 + -7x = -56 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -56 + 6 -7x = -56 + 6 Combine like terms: -56 + 6 = -50 -7x = -50 Divide each side by '-7'. x = 7.142857143 Simplifying x = 7.142857143
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