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Simplifying 2(5 + -3x) = 5(3x + 7) (5 * 2 + -3x * 2) = 5(3x + 7) (10 + -6x) = 5(3x + 7) Reorder the terms: 10 + -6x = 5(7 + 3x) 10 + -6x = (7 * 5 + 3x * 5) 10 + -6x = (35 + 15x) Solving 10 + -6x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + -6x + -15x = 35 + 15x + -15x Combine like terms: -6x + -15x = -21x 10 + -21x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -21x = 35 + 0 10 + -21x = 35 Add '-10' to each side of the equation. 10 + -10 + -21x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -21x = 35 + -10 -21x = 35 + -10 Combine like terms: 35 + -10 = 25 -21x = 25 Divide each side by '-21'. x = -1.19047619 Simplifying x = -1.19047619
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