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Simplifying 6x + -1(7x + 7) = 3x + -47 Reorder the terms: 6x + -1(7 + 7x) = 3x + -47 6x + (7 * -1 + 7x * -1) = 3x + -47 6x + (-7 + -7x) = 3x + -47 Reorder the terms: -7 + 6x + -7x = 3x + -47 Combine like terms: 6x + -7x = -1x -7 + -1x = 3x + -47 Reorder the terms: -7 + -1x = -47 + 3x Solving -7 + -1x = -47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + -1x + -3x = -47 + 3x + -3x Combine like terms: -1x + -3x = -4x -7 + -4x = -47 + 3x + -3x Combine like terms: 3x + -3x = 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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