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Simplifying 3x + -2 = 4 + -3(x + 3) Reorder the terms: -2 + 3x = 4 + -3(x + 3) Reorder the terms: -2 + 3x = 4 + -3(3 + x) -2 + 3x = 4 + (3 * -3 + x * -3) -2 + 3x = 4 + (-9 + -3x) Combine like terms: 4 + -9 = -5 -2 + 3x = -5 + -3x Solving -2 + 3x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 3x + 3x = -5 + -3x + 3x Combine like terms: 3x + 3x = 6x -2 + 6x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 6x = -5 + 0 -2 + 6x = -5 Add '2' to each side of the equation. -2 + 2 + 6x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -5 + 2 6x = -5 + 2 Combine like terms: -5 + 2 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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