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Simplifying 3(x + -2) + 4 = -2(3x + 1) Reorder the terms: 3(-2 + x) + 4 = -2(3x + 1) (-2 * 3 + x * 3) + 4 = -2(3x + 1) (-6 + 3x) + 4 = -2(3x + 1) Reorder the terms: -6 + 4 + 3x = -2(3x + 1) Combine like terms: -6 + 4 = -2 -2 + 3x = -2(3x + 1) Reorder the terms: -2 + 3x = -2(1 + 3x) -2 + 3x = (1 * -2 + 3x * -2) -2 + 3x = (-2 + -6x) Add '2' to each side of the equation. -2 + 2 + 3x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 0 + 3x = -2 + 2 + -6x 3x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 3x = 0 + -6x 3x = -6x Solving 3x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3x + 6x = -6x + 6x Combine like terms: 3x + 6x = 9x 9x = -6x + 6x Combine like terms: -6x + 6x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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