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Simplifying 7(3 + -4x) = 5 + -2(6x + -5) (3 * 7 + -4x * 7) = 5 + -2(6x + -5) (21 + -28x) = 5 + -2(6x + -5) Reorder the terms: 21 + -28x = 5 + -2(-5 + 6x) 21 + -28x = 5 + (-5 * -2 + 6x * -2) 21 + -28x = 5 + (10 + -12x) Combine like terms: 5 + 10 = 15 21 + -28x = 15 + -12x Solving 21 + -28x = 15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 21 + -28x + 12x = 15 + -12x + 12x Combine like terms: -28x + 12x = -16x 21 + -16x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + -16x = 15 + 0 21 + -16x = 15 Add '-21' to each side of the equation. 21 + -21 + -16x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -16x = 15 + -21 -16x = 15 + -21 Combine like terms: 15 + -21 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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