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Simplifying 5x + -10 = 12x + 6 Reorder the terms: -10 + 5x = 12x + 6 Reorder the terms: -10 + 5x = 6 + 12x Solving -10 + 5x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 5x + -12x = 6 + 12x + -12x Combine like terms: 5x + -12x = -7x -10 + -7x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -7x = 6 + 0 -10 + -7x = 6 Add '10' to each side of the equation. -10 + 10 + -7x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 6 + 10 -7x = 6 + 10 Combine like terms: 6 + 10 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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