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Simplifying 8x + -1(6x + 7) = 6x + -47 Reorder the terms: 8x + -1(7 + 6x) = 6x + -47 8x + (7 * -1 + 6x * -1) = 6x + -47 8x + (-7 + -6x) = 6x + -47 Reorder the terms: -7 + 8x + -6x = 6x + -47 Combine like terms: 8x + -6x = 2x -7 + 2x = 6x + -47 Reorder the terms: -7 + 2x = -47 + 6x Solving -7 + 2x = -47 + 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. -7 + 2x + -6x = -47 + 6x + -6x Combine like terms: 2x + -6x = -4x -7 + -4x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -4x = -47 + 0 -7 + -4x = -47 Add '7' to each side of the equation. -7 + 7 + -4x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -47 + 7 -4x = -47 + 7 Combine like terms: -47 + 7 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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