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Simplifying 3x + -6 + 2x + 4 + -14 = 40 + -2x + -10 + -4 Reorder the terms: -6 + 4 + -14 + 3x + 2x = 40 + -2x + -10 + -4 Combine like terms: -6 + 4 = -2 -2 + -14 + 3x + 2x = 40 + -2x + -10 + -4 Combine like terms: -2 + -14 = -16 -16 + 3x + 2x = 40 + -2x + -10 + -4 Combine like terms: 3x + 2x = 5x -16 + 5x = 40 + -2x + -10 + -4 Reorder the terms: -16 + 5x = 40 + -10 + -4 + -2x Combine like terms: 40 + -10 = 30 -16 + 5x = 30 + -4 + -2x Combine like terms: 30 + -4 = 26 -16 + 5x = 26 + -2x Solving -16 + 5x = 26 + -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. -16 + 5x + 2x = 26 + -2x + 2x Combine like terms: 5x + 2x = 7x -16 + 7x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 7x = 26 + 0 -16 + 7x = 26 Add '16' to each side of the equation. -16 + 16 + 7x = 26 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 26 + 16 7x = 26 + 16 Combine like terms: 26 + 16 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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