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Simplifying 9x + -1(3x + 8) = 7x + -47 Reorder the terms: 9x + -1(8 + 3x) = 7x + -47 9x + (8 * -1 + 3x * -1) = 7x + -47 9x + (-8 + -3x) = 7x + -47 Reorder the terms: -8 + 9x + -3x = 7x + -47 Combine like terms: 9x + -3x = 6x -8 + 6x = 7x + -47 Reorder the terms: -8 + 6x = -47 + 7x Solving -8 + 6x = -47 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 6x + -7x = -47 + 7x + -7x Combine like terms: 6x + -7x = -1x -8 + -1x = -47 + 7x + -7x Combine like terms: 7x + -7x = 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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