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Simplifying 3x + 37 = 6(-6x + -8) + 7 Reorder the terms: 37 + 3x = 6(-6x + -8) + 7 Reorder the terms: 37 + 3x = 6(-8 + -6x) + 7 37 + 3x = (-8 * 6 + -6x * 6) + 7 37 + 3x = (-48 + -36x) + 7 Reorder the terms: 37 + 3x = -48 + 7 + -36x Combine like terms: -48 + 7 = -41 37 + 3x = -41 + -36x Solving 37 + 3x = -41 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 37 + 3x + 36x = -41 + -36x + 36x Combine like terms: 3x + 36x = 39x 37 + 39x = -41 + -36x + 36x Combine like terms: -36x + 36x = 0 37 + 39x = -41 + 0 37 + 39x = -41 Add '-37' to each side of the equation. 37 + -37 + 39x = -41 + -37 Combine like terms: 37 + -37 = 0 0 + 39x = -41 + -37 39x = -41 + -37 Combine like terms: -41 + -37 = -78 39x = -78 Divide each side by '39'. x = -2 Simplifying x = -2
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