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Simplifying 3x + -2(4 + -3x) = 6 + x 3x + (4 * -2 + -3x * -2) = 6 + x 3x + (-8 + 6x) = 6 + x Reorder the terms: -8 + 3x + 6x = 6 + x Combine like terms: 3x + 6x = 9x -8 + 9x = 6 + x Solving -8 + 9x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 9x + -1x = 6 + x + -1x Combine like terms: 9x + -1x = 8x -8 + 8x = 6 + x + -1x Combine like terms: x + -1x = 0 -8 + 8x = 6 + 0 -8 + 8x = 6 Add '8' to each side of the equation. -8 + 8 + 8x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 6 + 8 8x = 6 + 8 Combine like terms: 6 + 8 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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