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Simplifying 37 + -6x = -5(6x + 7) Reorder the terms: 37 + -6x = -5(7 + 6x) 37 + -6x = (7 * -5 + 6x * -5) 37 + -6x = (-35 + -30x) Solving 37 + -6x = -35 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 37 + -6x + 30x = -35 + -30x + 30x Combine like terms: -6x + 30x = 24x 37 + 24x = -35 + -30x + 30x Combine like terms: -30x + 30x = 0 37 + 24x = -35 + 0 37 + 24x = -35 Add '-37' to each side of the equation. 37 + -37 + 24x = -35 + -37 Combine like terms: 37 + -37 = 0 0 + 24x = -35 + -37 24x = -35 + -37 Combine like terms: -35 + -37 = -72 24x = -72 Divide each side by '24'. x = -3 Simplifying x = -3
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