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Simplifying 6(5x + 3) = -7(x + 5) Reorder the terms: 6(3 + 5x) = -7(x + 5) (3 * 6 + 5x * 6) = -7(x + 5) (18 + 30x) = -7(x + 5) Reorder the terms: 18 + 30x = -7(5 + x) 18 + 30x = (5 * -7 + x * -7) 18 + 30x = (-35 + -7x) Solving 18 + 30x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 18 + 30x + 7x = -35 + -7x + 7x Combine like terms: 30x + 7x = 37x 18 + 37x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 18 + 37x = -35 + 0 18 + 37x = -35 Add '-18' to each side of the equation. 18 + -18 + 37x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + 37x = -35 + -18 37x = -35 + -18 Combine like terms: -35 + -18 = -53 37x = -53 Divide each side by '37'. x = -1.432432432 Simplifying x = -1.432432432
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