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Simplifying -6x + -37 = -5(6x + -7) Reorder the terms: -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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