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Simplifying 3x + -4 + -5x + 6 = 3(2 + -3x) Reorder the terms: -4 + 6 + 3x + -5x = 3(2 + -3x) Combine like terms: -4 + 6 = 2 2 + 3x + -5x = 3(2 + -3x) Combine like terms: 3x + -5x = -2x 2 + -2x = 3(2 + -3x) 2 + -2x = (2 * 3 + -3x * 3) 2 + -2x = (6 + -9x) Solving 2 + -2x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + -2x + 9x = 6 + -9x + 9x Combine like terms: -2x + 9x = 7x 2 + 7x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 7x = 6 + 0 2 + 7x = 6 Add '-2' to each side of the equation. 2 + -2 + 7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 6 + -2 7x = 6 + -2 Combine like terms: 6 + -2 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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