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Simplifying 3(4 + -5x) = 2(3x + 5) (4 * 3 + -5x * 3) = 2(3x + 5) (12 + -15x) = 2(3x + 5) Reorder the terms: 12 + -15x = 2(5 + 3x) 12 + -15x = (5 * 2 + 3x * 2) 12 + -15x = (10 + 6x) Solving 12 + -15x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -15x + -6x = 10 + 6x + -6x Combine like terms: -15x + -6x = -21x 12 + -21x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -21x = 10 + 0 12 + -21x = 10 Add '-12' to each side of the equation. 12 + -12 + -21x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -21x = 10 + -12 -21x = 10 + -12 Combine like terms: 10 + -12 = -2 -21x = -2 Divide each side by '-21'. x = 0.09523809524 Simplifying x = 0.09523809524
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