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Simplifying 7(-3x + 2) = 8(3x + -2) Reorder the terms: 7(2 + -3x) = 8(3x + -2) (2 * 7 + -3x * 7) = 8(3x + -2) (14 + -21x) = 8(3x + -2) Reorder the terms: 14 + -21x = 8(-2 + 3x) 14 + -21x = (-2 * 8 + 3x * 8) 14 + -21x = (-16 + 24x) Solving 14 + -21x = -16 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 14 + -21x + -24x = -16 + 24x + -24x Combine like terms: -21x + -24x = -45x 14 + -45x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + -45x = -16 + 0 14 + -45x = -16 Add '-14' to each side of the equation. 14 + -14 + -45x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -45x = -16 + -14 -45x = -16 + -14 Combine like terms: -16 + -14 = -30 -45x = -30 Divide each side by '-45'. x = 0.6666666667 Simplifying x = 0.6666666667
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