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Simplifying 3x + -1(x + 4) = 9x + 3(8 + -1x) Reorder the terms: 3x + -1(4 + x) = 9x + 3(8 + -1x) 3x + (4 * -1 + x * -1) = 9x + 3(8 + -1x) 3x + (-4 + -1x) = 9x + 3(8 + -1x) Reorder the terms: -4 + 3x + -1x = 9x + 3(8 + -1x) Combine like terms: 3x + -1x = 2x -4 + 2x = 9x + 3(8 + -1x) -4 + 2x = 9x + (8 * 3 + -1x * 3) -4 + 2x = 9x + (24 + -3x) Reorder the terms: -4 + 2x = 24 + 9x + -3x Combine like terms: 9x + -3x = 6x -4 + 2x = 24 + 6x Solving -4 + 2x = 24 + 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. -4 + 2x + -6x = 24 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 24 + 0 -4 + -4x = 24 Add '4' to each side of the equation. -4 + 4 + -4x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 24 + 4 -4x = 24 + 4 Combine like terms: 24 + 4 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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