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Simplifying 3(x + -2) + -6 = 5x + 4(3 + -2x) Reorder the terms: 3(-2 + x) + -6 = 5x + 4(3 + -2x) (-2 * 3 + x * 3) + -6 = 5x + 4(3 + -2x) (-6 + 3x) + -6 = 5x + 4(3 + -2x) Reorder the terms: -6 + -6 + 3x = 5x + 4(3 + -2x) Combine like terms: -6 + -6 = -12 -12 + 3x = 5x + 4(3 + -2x) -12 + 3x = 5x + (3 * 4 + -2x * 4) -12 + 3x = 5x + (12 + -8x) Reorder the terms: -12 + 3x = 12 + 5x + -8x Combine like terms: 5x + -8x = -3x -12 + 3x = 12 + -3x Solving -12 + 3x = 12 + -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. -12 + 3x + 3x = 12 + -3x + 3x Combine like terms: 3x + 3x = 6x -12 + 6x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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