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Simplifying 7x + -1(8 + 2x) = 4 + -1(3x + -12) 7x + (8 * -1 + 2x * -1) = 4 + -1(3x + -12) 7x + (-8 + -2x) = 4 + -1(3x + -12) Reorder the terms: -8 + 7x + -2x = 4 + -1(3x + -12) Combine like terms: 7x + -2x = 5x -8 + 5x = 4 + -1(3x + -12) Reorder the terms: -8 + 5x = 4 + -1(-12 + 3x) -8 + 5x = 4 + (-12 * -1 + 3x * -1) -8 + 5x = 4 + (12 + -3x) Combine like terms: 4 + 12 = 16 -8 + 5x = 16 + -3x Solving -8 + 5x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 5x + 3x = 16 + -3x + 3x Combine like terms: 5x + 3x = 8x -8 + 8x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 8x = 16 + 0 -8 + 8x = 16 Add '8' to each side of the equation. -8 + 8 + 8x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 16 + 8 8x = 16 + 8 Combine like terms: 16 + 8 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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