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Simplifying 7x + -1(2x + -2) + -8 = 3(4x + -9) Reorder the terms: 7x + -1(-2 + 2x) + -8 = 3(4x + -9) 7x + (-2 * -1 + 2x * -1) + -8 = 3(4x + -9) 7x + (2 + -2x) + -8 = 3(4x + -9) Reorder the terms: 2 + -8 + 7x + -2x = 3(4x + -9) Combine like terms: 2 + -8 = -6 -6 + 7x + -2x = 3(4x + -9) Combine like terms: 7x + -2x = 5x -6 + 5x = 3(4x + -9) Reorder the terms: -6 + 5x = 3(-9 + 4x) -6 + 5x = (-9 * 3 + 4x * 3) -6 + 5x = (-27 + 12x) Solving -6 + 5x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 5x + -12x = -27 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = -27 + 0 -6 + -7x = -27 Add '6' to each side of the equation. -6 + 6 + -7x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -27 + 6 -7x = -27 + 6 Combine like terms: -27 + 6 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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