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Simplifying 5x + -1(9x + 13) = 8 + -1(8x + -6) Reorder the terms: 5x + -1(13 + 9x) = 8 + -1(8x + -6) 5x + (13 * -1 + 9x * -1) = 8 + -1(8x + -6) 5x + (-13 + -9x) = 8 + -1(8x + -6) Reorder the terms: -13 + 5x + -9x = 8 + -1(8x + -6) Combine like terms: 5x + -9x = -4x -13 + -4x = 8 + -1(8x + -6) Reorder the terms: -13 + -4x = 8 + -1(-6 + 8x) -13 + -4x = 8 + (-6 * -1 + 8x * -1) -13 + -4x = 8 + (6 + -8x) Combine like terms: 8 + 6 = 14 -13 + -4x = 14 + -8x Solving -13 + -4x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -13 + -4x + 8x = 14 + -8x + 8x Combine like terms: -4x + 8x = 4x -13 + 4x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 4x = 14 + 0 -13 + 4x = 14 Add '13' to each side of the equation. -13 + 13 + 4x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 14 + 13 4x = 14 + 13 Combine like terms: 14 + 13 = 27 4x = 27 Divide each side by '4'. x = 6.75 Simplifying x = 6.75
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