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Simplifying 6x + 37 = -7(x + 4) Reorder the terms: 37 + 6x = -7(x + 4) Reorder the terms: 37 + 6x = -7(4 + x) 37 + 6x = (4 * -7 + x * -7) 37 + 6x = (-28 + -7x) Solving 37 + 6x = -28 + -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. 37 + 6x + 7x = -28 + -7x + 7x Combine like terms: 6x + 7x = 13x 37 + 13x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 37 + 13x = -28 + 0 37 + 13x = -28 Add '-37' to each side of the equation. 37 + -37 + 13x = -28 + -37 Combine like terms: 37 + -37 = 0 0 + 13x = -28 + -37 13x = -28 + -37 Combine like terms: -28 + -37 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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