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Simplifying 3x + -8 + -2x = 9 + -1(4x + 2) Reorder the terms: -8 + 3x + -2x = 9 + -1(4x + 2) Combine like terms: 3x + -2x = 1x -8 + 1x = 9 + -1(4x + 2) Reorder the terms: -8 + 1x = 9 + -1(2 + 4x) -8 + 1x = 9 + (2 * -1 + 4x * -1) -8 + 1x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 -8 + 1x = 7 + -4x Solving -8 + 1x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 1x + 4x = 7 + -4x + 4x Combine like terms: 1x + 4x = 5x -8 + 5x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 5x = 7 + 0 -8 + 5x = 7 Add '8' to each side of the equation. -8 + 8 + 5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 7 + 8 5x = 7 + 8 Combine like terms: 7 + 8 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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