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Simplifying 3(3x + -2) + -4(x + -1) = 14 + x Reorder the terms: 3(-2 + 3x) + -4(x + -1) = 14 + x (-2 * 3 + 3x * 3) + -4(x + -1) = 14 + x (-6 + 9x) + -4(x + -1) = 14 + x Reorder the terms: -6 + 9x + -4(-1 + x) = 14 + x -6 + 9x + (-1 * -4 + x * -4) = 14 + x -6 + 9x + (4 + -4x) = 14 + x Reorder the terms: -6 + 4 + 9x + -4x = 14 + x Combine like terms: -6 + 4 = -2 -2 + 9x + -4x = 14 + x Combine like terms: 9x + -4x = 5x -2 + 5x = 14 + x Solving -2 + 5x = 14 + 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. -2 + 5x + -1x = 14 + x + -1x Combine like terms: 5x + -1x = 4x -2 + 4x = 14 + x + -1x Combine like terms: x + -1x = 0 -2 + 4x = 14 + 0 -2 + 4x = 14 Add '2' to each side of the equation. -2 + 2 + 4x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 14 + 2 4x = 14 + 2 Combine like terms: 14 + 2 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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