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Simplifying 4x + -8 + -1(6x + 39) = 37 + -1(72 + 6x) Reorder the terms: 4x + -8 + -1(39 + 6x) = 37 + -1(72 + 6x) 4x + -8 + (39 * -1 + 6x * -1) = 37 + -1(72 + 6x) 4x + -8 + (-39 + -6x) = 37 + -1(72 + 6x) Reorder the terms: -8 + -39 + 4x + -6x = 37 + -1(72 + 6x) Combine like terms: -8 + -39 = -47 -47 + 4x + -6x = 37 + -1(72 + 6x) Combine like terms: 4x + -6x = -2x -47 + -2x = 37 + -1(72 + 6x) -47 + -2x = 37 + (72 * -1 + 6x * -1) -47 + -2x = 37 + (-72 + -6x) Combine like terms: 37 + -72 = -35 -47 + -2x = -35 + -6x Solving -47 + -2x = -35 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -47 + -2x + 6x = -35 + -6x + 6x Combine like terms: -2x + 6x = 4x -47 + 4x = -35 + -6x + 6x Combine like terms: -6x + 6x = 0 -47 + 4x = -35 + 0 -47 + 4x = -35 Add '47' to each side of the equation. -47 + 47 + 4x = -35 + 47 Combine like terms: -47 + 47 = 0 0 + 4x = -35 + 47 4x = -35 + 47 Combine like terms: -35 + 47 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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