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Simplifying 3x + -1(3 + 4x) = 6 + -2x 3x + (3 * -1 + 4x * -1) = 6 + -2x 3x + (-3 + -4x) = 6 + -2x Reorder the terms: -3 + 3x + -4x = 6 + -2x Combine like terms: 3x + -4x = -1x -3 + -1x = 6 + -2x Solving -3 + -1x = 6 + -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. -3 + -1x + 2x = 6 + -2x + 2x Combine like terms: -1x + 2x = 1x -3 + 1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 1x = 6 + 0 -3 + 1x = 6 Add '3' to each side of the equation. -3 + 3 + 1x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 6 + 3 1x = 6 + 3 Combine like terms: 6 + 3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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