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Simplifying 6x + -1(2x + 8) = 5x + -47 Reorder the terms: 6x + -1(8 + 2x) = 5x + -47 6x + (8 * -1 + 2x * -1) = 5x + -47 6x + (-8 + -2x) = 5x + -47 Reorder the terms: -8 + 6x + -2x = 5x + -47 Combine like terms: 6x + -2x = 4x -8 + 4x = 5x + -47 Reorder the terms: -8 + 4x = -47 + 5x Solving -8 + 4x = -47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 4x + -5x = -47 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = -47 + 0 -8 + -1x = -47 Add '8' to each side of the equation. -8 + 8 + -1x = -47 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -47 + 8 -1x = -47 + 8 Combine like terms: -47 + 8 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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