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Simplifying -12 + 5x = 4(x + 2) + 6x Reorder the terms: -12 + 5x = 4(2 + x) + 6x -12 + 5x = (2 * 4 + x * 4) + 6x -12 + 5x = (8 + 4x) + 6x Combine like terms: 4x + 6x = 10x -12 + 5x = 8 + 10x Solving -12 + 5x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 5x + -10x = 8 + 10x + -10x Combine like terms: 5x + -10x = -5x -12 + -5x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -5x = 8 + 0 -12 + -5x = 8 Add '12' to each side of the equation. -12 + 12 + -5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 8 + 12 -5x = 8 + 12 Combine like terms: 8 + 12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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