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Simplifying 4x + -1(8x + 8) = 9x + -47 Reorder the terms: 4x + -1(8 + 8x) = 9x + -47 4x + (8 * -1 + 8x * -1) = 9x + -47 4x + (-8 + -8x) = 9x + -47 Reorder the terms: -8 + 4x + -8x = 9x + -47 Combine like terms: 4x + -8x = -4x -8 + -4x = 9x + -47 Reorder the terms: -8 + -4x = -47 + 9x Solving -8 + -4x = -47 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + -4x + -9x = -47 + 9x + -9x Combine like terms: -4x + -9x = -13x -8 + -13x = -47 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -13x = -47 + 0 -8 + -13x = -47 Add '8' to each side of the equation. -8 + 8 + -13x = -47 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = -47 + 8 -13x = -47 + 8 Combine like terms: -47 + 8 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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