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Simplifying 5(2x + 3) = 13x + -1(6 + -4x) Reorder the terms: 5(3 + 2x) = 13x + -1(6 + -4x) (3 * 5 + 2x * 5) = 13x + -1(6 + -4x) (15 + 10x) = 13x + -1(6 + -4x) 15 + 10x = 13x + (6 * -1 + -4x * -1) 15 + 10x = 13x + (-6 + 4x) Reorder the terms: 15 + 10x = -6 + 13x + 4x Combine like terms: 13x + 4x = 17x 15 + 10x = -6 + 17x Solving 15 + 10x = -6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 15 + 10x + -17x = -6 + 17x + -17x Combine like terms: 10x + -17x = -7x 15 + -7x = -6 + 17x + -17x Combine like terms: 17x + -17x = 0 15 + -7x = -6 + 0 15 + -7x = -6 Add '-15' to each side of the equation. 15 + -15 + -7x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -6 + -15 -7x = -6 + -15 Combine like terms: -6 + -15 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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