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Simplifying 8x + -6 = 2(5x + 12) Reorder the terms: -6 + 8x = 2(5x + 12) Reorder the terms: -6 + 8x = 2(12 + 5x) -6 + 8x = (12 * 2 + 5x * 2) -6 + 8x = (24 + 10x) Solving -6 + 8x = 24 + 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. -6 + 8x + -10x = 24 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = 24 + 0 -6 + -2x = 24 Add '6' to each side of the equation. -6 + 6 + -2x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 24 + 6 -2x = 24 + 6 Combine like terms: 24 + 6 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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