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Simplifying 3(x + -2) + 4 = 6 + -2(x + 3) Reorder the terms: 3(-2 + x) + 4 = 6 + -2(x + 3) (-2 * 3 + x * 3) + 4 = 6 + -2(x + 3) (-6 + 3x) + 4 = 6 + -2(x + 3) Reorder the terms: -6 + 4 + 3x = 6 + -2(x + 3) Combine like terms: -6 + 4 = -2 -2 + 3x = 6 + -2(x + 3) Reorder the terms: -2 + 3x = 6 + -2(3 + x) -2 + 3x = 6 + (3 * -2 + x * -2) -2 + 3x = 6 + (-6 + -2x) Combine like terms: 6 + -6 = 0 -2 + 3x = 0 + -2x -2 + 3x = -2x Solving -2 + 3x = -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. -2 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x -2 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 5x = 0 Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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