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Simplifying 8x + -12 = 2(5x + 6) + -4 Reorder the terms: -12 + 8x = 2(5x + 6) + -4 Reorder the terms: -12 + 8x = 2(6 + 5x) + -4 -12 + 8x = (6 * 2 + 5x * 2) + -4 -12 + 8x = (12 + 10x) + -4 Reorder the terms: -12 + 8x = 12 + -4 + 10x Combine like terms: 12 + -4 = 8 -12 + 8x = 8 + 10x Solving -12 + 8x = 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 + 8x + -10x = 8 + 10x + -10x Combine like terms: 8x + -10x = -2x -12 + -2x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -2x = 8 + 0 -12 + -2x = 8 Add '12' to each side of the equation. -12 + 12 + -2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 8 + 12 -2x = 8 + 12 Combine like terms: 8 + 12 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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