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Simplifying 2(x + -3) + 3x = 4 + -2(x + 3) Reorder the terms: 2(-3 + x) + 3x = 4 + -2(x + 3) (-3 * 2 + x * 2) + 3x = 4 + -2(x + 3) (-6 + 2x) + 3x = 4 + -2(x + 3) Combine like terms: 2x + 3x = 5x -6 + 5x = 4 + -2(x + 3) Reorder the terms: -6 + 5x = 4 + -2(3 + x) -6 + 5x = 4 + (3 * -2 + x * -2) -6 + 5x = 4 + (-6 + -2x) Combine like terms: 4 + -6 = -2 -6 + 5x = -2 + -2x Solving -6 + 5x = -2 + -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. -6 + 5x + 2x = -2 + -2x + 2x Combine like terms: 5x + 2x = 7x -6 + 7x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 7x = -2 + 0 -6 + 7x = -2 Add '6' to each side of the equation. -6 + 6 + 7x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -2 + 6 7x = -2 + 6 Combine like terms: -2 + 6 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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