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Simplifying 5x + -1(8 + 9x) = 12 + -1(2x + 4) 5x + (8 * -1 + 9x * -1) = 12 + -1(2x + 4) 5x + (-8 + -9x) = 12 + -1(2x + 4) Reorder the terms: -8 + 5x + -9x = 12 + -1(2x + 4) Combine like terms: 5x + -9x = -4x -8 + -4x = 12 + -1(2x + 4) Reorder the terms: -8 + -4x = 12 + -1(4 + 2x) -8 + -4x = 12 + (4 * -1 + 2x * -1) -8 + -4x = 12 + (-4 + -2x) Combine like terms: 12 + -4 = 8 -8 + -4x = 8 + -2x Solving -8 + -4x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + -4x + 2x = 8 + -2x + 2x Combine like terms: -4x + 2x = -2x -8 + -2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -2x = 8 + 0 -8 + -2x = 8 Add '8' to each side of the equation. -8 + 8 + -2x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 8 + 8 -2x = 8 + 8 Combine like terms: 8 + 8 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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